{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd \n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "colorsmain=sns.hls_palette(12)[0:4]\n",
    "colorsmain4= [sns.color_palette(\"gray\", 12)[10],sns.color_palette(\"gray\", 12)[8],sns.color_palette(\"gray\", 12)[6],sns.color_palette(\"gray\", 12)[4]]\n",
    "colorsmain2binary = [sns.color_palette(\"gray\", 12)[8], sns.color_palette(\"gray\", 12)[4]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/Users/lukas/Dropbox/CoronaImpacts/Replication files\n"
     ]
    }
   ],
   "source": [
    "cd '/Users/Lukas/Dropbox/CoronaImpacts/Replication files'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Figure 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "figure_1a = pd.read_csv('output/tables/tables_raw/coefsanycovid_confirmed.csv', delimiter = ',')\n",
    "figure_1b = pd.read_csv('output/tables/tables_raw/coefspostfirsthth.csv', delimiter = ',')\n",
    "figure_1a['count']= figure_1a.index\n",
    "figure_1a['95dif']=(figure_1a['upperci']-figure_1a['lowerci'])/2\n",
    "figure_1b['count']= figure_1b.index\n",
    "figure_1b['95dif']=(figure_1b['upperci']-figure_1b['lowerci'])/2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "sns.set_style(\"whitegrid\")\n",
    "ax = plt.gca()\n",
    "figure_1a_plot=figure_1a.plot(x='count', y='est', yerr='95dif', kind=\"bar\", ax=ax,color=colorsmain4, hatch='/')\n",
    "figure_1a_plot.set_xticks([0,1,2,3])\n",
    "figure_1a_plot.set_xticklabels(['Recession','Stock Market\\nCrash','Conspiracy','Survivalism'],rotation='horizontal', fontsize=14)\n",
    "figure_1a_plot.set_yticks([0,0.25,0.5,0.75,1])\n",
    "figure_1a_plot.set_yticklabels(['0%','25%','50%','75%','100%'], fontsize=14)\n",
    "figure_1a_plot.legend().set_visible(False)\n",
    "figure_1a_plot.set_xlabel('')\n",
    "figure_1a_plot.set_ylabel('Impact on Search Intensity', fontsize=14)\n",
    "figure_1a_plot.text(-0.5, 1.04, \"A\", fontsize=16, fontweight='bold')\n",
    "fig = figure_1a_plot.get_figure()\n",
    "fig.set_size_inches(6, 3)\n",
    "figure_1a_plot.set_title('Arrival of Coronavirus',fontsize=14, fontweight='bold')\n",
    "\n",
    "fig.savefig(\"output/figures/fig_1a.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.gca()\n",
    "figure_1b_plot=figure_1b.plot(x='count', y='est', yerr='95dif', kind=\"bar\", ax=ax,color=colorsmain4, hatch='X')\n",
    "figure_1b_plot.set_xticks([0,1,2,3])\n",
    "figure_1b_plot.set_xticklabels(['Recession','Stock Market\\nCrash','Conspiracy','Survivalism'],rotation='horizontal', fontsize=14)\n",
    "figure_1b_plot.set_yticks([0,0.25,0.5,0.75])\n",
    "figure_1b_plot.set_yticklabels(['0%','25%','50%','75%'], fontsize=14)\n",
    "figure_1b_plot.legend().set_visible(False)\n",
    "figure_1b_plot.set_xlabel('')\n",
    "figure_1b_plot.set_ylabel('Impact on Search Intensity', fontsize=14)\n",
    "figure_1b_plot.text(-0.5, 0.78, \"B\", fontsize=16, fontweight='bold')\n",
    "figure_1b_plot.set_title('First Human-to-Human Transmission',fontsize=14, fontweight='bold')\n",
    "\n",
    "fig = figure_1b_plot.get_figure()\n",
    "fig.set_size_inches(6, 3)\n",
    "\n",
    "fig.savefig(\"output/figures/fig_1b.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Figure 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "survey1=pd.read_stata('data/survey1_clean.dta')\n",
    "\n",
    "impact_1_s1 = survey1.groupby('impact_1').count().iloc[0:5,1]\n",
    "impact_2_s1 = survey1.groupby('impact_2').count().iloc[0:5,1]\n",
    "worry_corona_econ_s1 =survey1.groupby('worry_corona_econ').count().iloc[0:4,1]\n",
    "worry_econpersonal_s1 = survey1.groupby('worry_perecon').count().iloc[0:4,1]\n",
    "\n",
    "impact_1_s1=pd.DataFrame(impact_1_s1)\n",
    "impact_1_s1.reset_index(inplace=True)\n",
    "impact_1_s1.columns=['runner','fraction']\n",
    "impact_1_s1['runner']=impact_1_s1.index\n",
    "impact_1_s1['fraction'] = impact_1_s1['fraction']/impact_1_s1.fraction.sum()\n",
    "\n",
    "\n",
    "impact_2_s1=pd.DataFrame(impact_2_s1)\n",
    "impact_2_s1.reset_index(inplace=True)\n",
    "impact_2_s1.columns=['runner','fraction']\n",
    "impact_2_s1['runner']=impact_2_s1.index\n",
    "impact_2_s1['fraction'] = impact_2_s1['fraction']/impact_2_s1.fraction.sum()\n",
    "\n",
    "\n",
    "worry_corona_econ_s1=pd.DataFrame(worry_corona_econ_s1)\n",
    "worry_corona_econ_s1.reset_index(inplace=True)\n",
    "worry_corona_econ_s1.columns=['runner','fraction']\n",
    "worry_corona_econ_s1['runner']=worry_corona_econ_s1.index\n",
    "worry_corona_econ_s1['fraction'] = worry_corona_econ_s1['fraction']/worry_corona_econ_s1.fraction.sum()\n",
    "worry_corona_econ_s1['runner'] = worry_corona_econ_s1['runner']+1\n",
    "\n",
    "worry_econpersonal_s1=pd.DataFrame(worry_econpersonal_s1)\n",
    "worry_econpersonal_s1.reset_index(inplace=True)\n",
    "worry_econpersonal_s1.columns=['runner','fraction']\n",
    "worry_econpersonal_s1['runner']=worry_econpersonal_s1.index\n",
    "worry_econpersonal_s1['fraction'] = worry_econpersonal_s1['fraction']/worry_econpersonal_s1.fraction.sum()\n",
    "worry_econpersonal_s1['runner'] = worry_econpersonal_s1['runner']+1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "survey2 =pd.read_stata('data/survey2_clean.dta')\n",
    "\n",
    "impact_1_s2 = survey2.groupby('impact_1').count().iloc[0:5,1]\n",
    "impact_2_s2 = survey2.groupby('impact_2').count().iloc[0:5,1]\n",
    "worry_corona_econ_s2 =survey2.groupby('worry_corona_econ').count().iloc[0:4,1]\n",
    "worry_econpersonal_s2 = survey2.groupby('worry_perecon').count().iloc[0:4,1]\n",
    "\n",
    "impact_1_s2=pd.DataFrame(impact_1_s2)\n",
    "impact_1_s2.reset_index(inplace=True)\n",
    "impact_1_s2.columns=['runner','fraction']\n",
    "impact_1_s2['runner']=impact_1_s2.index\n",
    "impact_1_s2['fraction'] = impact_1_s2['fraction']/impact_1_s2.fraction.sum()\n",
    "\n",
    "\n",
    "impact_2_s2=pd.DataFrame(impact_2_s2)\n",
    "impact_2_s2.reset_index(inplace=True)\n",
    "impact_2_s2.columns=['runner','fraction']\n",
    "impact_2_s2['runner']=impact_2_s2.index\n",
    "impact_2_s2['fraction'] = impact_2_s2['fraction']/impact_2_s2.fraction.sum()\n",
    "\n",
    "\n",
    "worry_corona_econ_s2=pd.DataFrame(worry_corona_econ_s2)\n",
    "worry_corona_econ_s2.reset_index(inplace=True)\n",
    "worry_corona_econ_s2.columns=['runner','fraction']\n",
    "worry_corona_econ_s2['runner']=worry_corona_econ_s2.index\n",
    "worry_corona_econ_s2['fraction'] = worry_corona_econ_s2['fraction']/worry_corona_econ_s2.fraction.sum()\n",
    "worry_corona_econ_s2['runner'] = worry_corona_econ_s2['runner']+1\n",
    "\n",
    "\n",
    "worry_econpersonal_s2=pd.DataFrame(worry_econpersonal_s2)\n",
    "worry_econpersonal_s2.reset_index(inplace=True)\n",
    "worry_econpersonal_s2.columns=['runner','fraction']\n",
    "worry_econpersonal_s2['runner']=worry_econpersonal_s2.index\n",
    "worry_econpersonal_s2['fraction'] = worry_econpersonal_s2['fraction']/worry_econpersonal_s2.fraction.sum()\n",
    "worry_econpersonal_s2['runner'] = worry_econpersonal_s2['runner']+1\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 381.6x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5.3,4))\n",
    "\n",
    "x1= np.array(impact_1_s1['runner']-0.1)\n",
    "y1 =np.array(impact_1_s1['fraction'])\n",
    "x2= np.array(impact_1_s2['runner']+0.1)\n",
    "y2 =np.array(impact_1_s2['fraction'])\n",
    "\n",
    "plt.ylabel('Fraction of Participants',fontsize=14)\n",
    "plt.title('Beliefs about Severity for World\\n(Agreement: \"The World will be severely\\naffected by the coronavirus.\")',fontsize=16,fontweight='bold')\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "plt.bar(x1, y1, width=0.3, zorder=1, color=colorsmain2binary[0],alpha=1, label='Early March')\n",
    "plt.bar(x2, y2, width=0.3, zorder=1, color=colorsmain2binary[1],alpha=1, label='Mid March')\n",
    "\n",
    "plt.xticks([0,1,2,3,4], ['Strongly\\ndisagree','Somewhat\\ndisagree'\\\n",
    ", 'Neither','Somewhat\\nagree','Strongly\\nagree' ])\n",
    "\n",
    "plt.xticks(fontsize=12)\n",
    "plt.yticks([0,0.1,0.2,0.3,0.4,0.5], fontsize=14)\n",
    "\n",
    "plt.legend(['Early March','Mid March'],fontsize=14)\n",
    "plt.text(-1.23, 0.595, \"A\", fontsize=16, fontweight='bold')\n",
    "\n",
    "plt.savefig(\"output/figures/fig_2a.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 381.6x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5.3,4))\n",
    "\n",
    "x1= np.array(impact_2_s1['runner']-0.1)\n",
    "y1 =np.array(impact_2_s1['fraction'])\n",
    "x2= np.array(impact_2_s2['runner']+0.1)\n",
    "y2 =np.array(impact_2_s2['fraction'])\n",
    "\n",
    "\n",
    "plt.ylabel('Fraction of Participants',fontsize=14)\n",
    "plt.title('Beliefs about Severity for the US\\n(Agreement: \"The US will be severely\\naffected by the coronavirus.\")',fontsize=16,fontweight='bold')\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "plt.bar(x1, y1, width=0.3, zorder=1, color=colorsmain2binary[0],alpha=1, label='Early March')\n",
    "plt.bar(x2, y2, width=0.3, zorder=1, color=colorsmain2binary[1],alpha=1, label='Mid March')\n",
    "\n",
    "plt.xticks([0,1,2,3,4], ['Strongly\\ndisagree','Somewhat\\ndisagree'\\\n",
    ", 'Neither','Somewhat\\nagree','Strongly\\nagree' ])\n",
    "\n",
    "plt.xticks(fontsize=12)\n",
    "plt.yticks([0,0.1,0.2,0.3,0.4,0.5], fontsize=14)\n",
    "\n",
    "plt.legend(['Early March','Mid March'],fontsize=14)\n",
    "plt.text(-1.23, 0.595, \"B\", fontsize=16, fontweight='bold')\n",
    "\n",
    "plt.savefig(\"output/figures/fig_2b.png\",dpi=400,bbox_inches='tight')\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 381.6x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5.3,4))\n",
    "\n",
    "x1= np.array(worry_corona_econ_s1['runner']-0.1)\n",
    "y1 =np.array(worry_corona_econ_s1['fraction'])\n",
    "x2= np.array(worry_corona_econ_s2['runner']+0.1)\n",
    "y2 =np.array(worry_corona_econ_s2['fraction'])\n",
    "\n",
    "plt.ylim(0, 0.55)\n",
    "plt.ylabel('Fraction of Participants',fontsize=14)\n",
    "plt.title('Worries about Aggregate Economy\\n(\"Are you worried about the effects of\\nthe coronavirus on the US economy?\")',fontsize=16,fontweight='bold')\n",
    "\n",
    "\n",
    " \n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "plt.bar(x1, y1, width=0.3, zorder=1, color=colorsmain2binary[0],alpha=1, label='Early March')\n",
    "plt.bar(x2, y2, width=0.3, zorder=1, color=colorsmain2binary[1],alpha=1, label='Mid March')\n",
    "\n",
    "plt.xticks([1,2,3,4], ['Not at all\\nworried','Not worried'\\\n",
    ", 'Worried','Very\\nworried' ], fontsize=14)\n",
    "\n",
    "plt.xticks(fontsize=12)\n",
    "plt.yticks([0,0.1,0.2,0.3,0.4,0.5], fontsize=14)\n",
    "\n",
    "plt.legend(['Early March','Mid March'],fontsize=14, loc='upper left')\n",
    "plt.text(-0.05, 0.654, \"C\", fontsize=16, fontweight='bold')\n",
    "\n",
    "plt.savefig(\"output/figures/fig_2c.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 381.6x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5.3,4))\n",
    "\n",
    "x1= np.array(worry_econpersonal_s1['runner']-0.1)\n",
    "y1 =np.array(worry_econpersonal_s1['fraction'])\n",
    "x2= np.array(worry_econpersonal_s2['runner']+0.1)\n",
    "y2 =np.array(worry_econpersonal_s2['fraction'])\n",
    "\n",
    "\n",
    "plt.ylim(0, 0.55)\n",
    "plt.ylabel('Fraction of Participants',fontsize=14)\n",
    "plt.title('Worries about Personal Economic Situation\\n(\"Are you worried about the effects of the corona-\\nvirus on your household’s economic situation?\")', fontsize=16,fontweight='bold')\n",
    "\n",
    "\n",
    " \n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "plt.bar(x1, y1, width=0.3, zorder=1, color=colorsmain2binary[0],alpha=1, label='Early March')\n",
    "plt.bar(x2, y2, width=0.3, zorder=1, color=colorsmain2binary[1],alpha=1, label='Mid March')\n",
    "\n",
    "plt.xticks([1,2,3,4], ['Not at all\\nworried','Not worried'\\\n",
    ", 'Worried','Very\\nworried' ])\n",
    "\n",
    "plt.xticks(fontsize=12)\n",
    "plt.yticks([0,0.1,0.2,0.3,0.4,0.5], fontsize=14)\n",
    "\n",
    "plt.legend(['Early March','Mid March'],fontsize=14,loc='upper left')\n",
    "plt.text(-0.05, 0.654, \"D\", fontsize=16, fontweight='bold')\n",
    "\n",
    "plt.savefig(\"output/figures/fig_2d.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Figure 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "surveydata=pd.read_stata('data/survey1_clean.dta')\n",
    "figure_3a= surveydata['perceived_mortality_fig']\n",
    "figure_3b= surveydata['perceived_contagion_fig']\n",
    "\n",
    "\n",
    "figuresdf_3d = pd.read_csv('output/tables/tables_raw/table1_raw.csv', delimiter = ',')\n",
    "\n",
    "\n",
    "figuresdf_3d['95dif']=(figuresdf_3d['uci']-figuresdf_3d['lci'])/2\n",
    "\n",
    "figuresdf_3d.reset_index(inplace=True)\n",
    "figuresdf_3d['countrun']= figuresdf_3d.index\n",
    "\n",
    "figuresdf_3d.loc[2,'countrun']=3\n",
    "figuresdf_3d.loc[3,'countrun']=4\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "figuresdf_3c = pd.read_csv('output/tables/tables_raw/tablescornew.csv', delimiter = ',')\n",
    "figuresdf_3c['95dif']=(figuresdf_3c['uci']-figuresdf_3c['lci'])/2\n",
    "\n",
    "\n",
    "figuresdf_3c.reset_index(inplace=True)\n",
    "figuresdf_3c['countrun']= figuresdf_3c.index\n",
    "\n",
    "figuresdf_3c.loc[2,'countrun']=2.7\n",
    "figuresdf_3c.loc[3,'countrun']=3.7\n",
    "figuresdf_3c['countrun']= figuresdf_3c['countrun']*1.3\n",
    "figuresdf_3c=figuresdf_3c.loc[0:3]\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Applications/anaconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "vline= sns.color_palette(\"gray\", 12)[4]\n",
    "\n",
    "plt.figure(figsize=(7,4))\n",
    "\n",
    "figure_3a_plot = sns.kdeplot(figure_3a, shade=True,color=sns.color_palette(\"gray\", 12)[8])\n",
    "figure_3a_plot.set(xlim=(0, 50))\n",
    "figure_3a_plot.set_xticks([0,10,20,30,40,50])\n",
    "figure_3a_plot.set(xticklabels=['0','0.1','0.2','0.3','0.4','>0.5'])\n",
    "figure_3a_plot.set_yticks([0,0.02,0.04,0.06,0.08])\n",
    "figure_3a_plot.set(xticklabels=['0','0.1','0.2','0.3','0.4','>0.5'])\n",
    "figure_3a_plot.set_xticklabels(['0%','10%','20%','30%','40%','>50%'],rotation='horizontal', fontsize=14)\n",
    "figure_3a_plot.set_yticklabels([0,0.02,0.04,0.06,0.08], fontsize=14)\n",
    "figure_3a_plot.legend().set_visible(False)\n",
    "figure_3a_plot.text(-6.54, 0.0863, \"A\", fontsize=16, fontweight='bold')\n",
    "\n",
    "figure_3a_plot.set_title('Beliefs about Mortality',fontsize=16, fontweight='bold')\n",
    "figure_3a_plot.axvline(x=5, color=vline, linestyle='-',zorder=1)\n",
    "figure_3a_plot.set_ylabel('Density',fontsize=14)\n",
    "\n",
    "figure_3a_plot.text(6, 0.07, \"Median=5%\", fontsize=14)\n",
    "plt.savefig(\"output/figures/fig_3a.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,4))\n",
    "\n",
    "figure_3b_plot = sns.kdeplot(figure_3b, shade=True, color=sns.color_palette(\"gray\", 12)[4])\n",
    "figure_3b_plot.set(xlim=(0, 50))\n",
    "figure_3b_plot.set(ylim=(0, 0.065))\n",
    "\n",
    "figure_3b_plot.set_xticks([0,10,20,30,40,50])\n",
    "figure_3b_plot.set(xticklabels=['0','0.1','0.2','0.3','0.4','>0.5'])\n",
    "figure_3b_plot.set_yticks([0,0.02,0.04,0.06])\n",
    "figure_3b_plot.set_xticklabels(['0','10','20','30','40','>50'],rotation='horizontal', fontsize=14)\n",
    "figure_3b_plot.set_yticklabels([0,0.02,0.04,0.06], fontsize=14)\n",
    "figure_3b_plot.legend().set_visible(False)\n",
    "figure_3b_plot.text(-6.54, 0.0668, \"B\", fontsize=16, fontweight='bold')\n",
    "figure_3b_plot.set_ylabel('Density',fontsize=14)\n",
    "\n",
    "figure_3b_plot.set_title('Beliefs about Contagiousness (R0)',fontsize=16, fontweight='bold')\n",
    "figure_3b_plot.axvline(x=10, color=vline, linestyle='-',zorder=1)\n",
    "figure_3b_plot.text(11, 0.05, \"Median=10\", fontsize=14)\n",
    "plt.savefig(\"output/figures/fig_3b.png\",dpi=400,bbox_inches='tight')\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2BgpND5qOAj///DNHjhwhLS1N5/xee+01ANlRR0JyItDsOMqbZ827tPKX1HmXhub2jaImWM18NdMsy+GgvJDq5N69e/K1smZm5bWer1AoZIeLJ0+ekJSUJMvi6Ogot8MLFy6QkJDApUuXaNy4sU5pS+n4+vrK6fz++++cO3eOS5culdlJt23blh07drBv3z5CQkJo0aIF9+7dY+rUqaX+ZurUqcTHxzNkyBBOnTrFli1bSrVwabY9lUolKzpLS0tZ7kePHml5VUrtU6FQYGNjo/UfaLbHojN3fUz9ElZWVjRo0ICMjAx+/fVXDAwMStwSp++zVNravSaPHj1iwoQJ3L59m5UrVxIbG8vcuXP1LkNZSLPbqKgofvvtNxQKBZ06dSrXPJ6Xpz5hJiYmBAQEAIXeqdIoRaVSsXTpUm7evElCQoLe5kPB3zg7O2NmZkZ6ejpbtmwBCtdoPDw86NixI2lpaTRq1AgTExNyc3OJiIgA4NKlS0ydOpUhQ4Zw9epV4O/OPz09vdTRa8uWLYHCNQNp3S4xMVFer9D0pCtvnjVvd3d3FAoFKpWK8PBw1Go1Fy9elEecz0utWrXk/YWrVq0iPz+f+/fvy3VdkUid3qZNm0hNTSUnJ4dly5ZVeL5qtZqff/4ZKOzAa9SogYeHBwYGBly+fFmeXe7YsQOlUknPnj3Jz8/XKW2pTEePHuX3338HCr0jlUplmfvaIiMjZY9SGxsbevToQZ8+fYDCWWhpbfrKlStA4azI1NSUAwcOyDPAojPGgwcPEhcXB8BXX31Fbm4uCoUCNzc3lEolVatWJT8/n8WLF8szxBUrVgCF7dfExERrv6XkEJOQkFBsPVNzMFbWM1kUqf7UajUODg4l7g/V91kqSUkX7S9u3bolm4pff/11CgoKtDyC9dl9UFpfFBAQgKGhIQcOHCAnJ4eWLVu+dPujdRp6TpkyhYYNG3L+/Hk6dOjAgAED6NChA9HR0VhYWMjeYP81Fi5cSOvWrYu9hgwZolc6VlZW8sh97ty5NGnShGHDhlFQUEDTpk2xtLTE2tqaoUOHAoUDFE9PT7p164ZKpaJ58+Z4eHgAf5tWFy9eXOreUk9PT/z9/YHCkbaHhwcBAQGkpqbi5uZWofvJnjVvGxsb+vbtCxR2sFL5Ja/e58XIyIjhw4cDhSPZJk2a0LZt2wrbWK3J0KFDUSgUJCYm0rJlS7y8vLTMz88y6yiJe/fuyW20VatWeHp6yqfAdOjQATs7OxwcHOjcuTMFBQWMGjUKb29vPvnkE/Lz82nfvj1GRkY65dWqVSuUSiU5OTl0794dLy8vwsPDyc3NLdMtv127dpiYmJCYmEjz5s1p2rQpY8aMAQq3DJV2aIM0k124cCHe3t7yb6D4fjpra2v69OmDUqnk888/B6BPnz7Y2NhQpUoVeW/x1q1badKkCS1atCAhIQFra2t5u4WFhQVubm5AoWdoly5d6NOnT7GZsI2Njew007t3b/73v//pVH9eXl7y+5LWF6F8nmOpv5g4cSK9evWifv36stLv2bMnXl5eWoNDXdayi6a9ceNGvLy8ZKvW66+/jo+Pj3zfy2ZGBR0V4yuvvMLXX3/NyJEjsbGxIS4uDrVaTefOndm2bRtOTk4VLedLyePHj7l//36xV0nHpj2NiRMnMnnyZOzt7cnOzqZmzZqMGTNGdiGHwpMkZsyYgb29PTk5OdjZ2dG/f3/ZmwwKHUccHBwwMDDAxsam1BHqkiVLCA4OpkGDBuTm5lK9enX69+9PZGSkvG5VUTxr3lOmTJHboJGREUFBQXptUXgaffv2ZfLkydSoUYOCggI6d+4sO57osy1EX5ydnVm5cqXsEOLs7Cx7gpZn3tIs+P79+yQnJ5Obm4utrS1BQUFaa8OhoaEMHz6cmjVrkpmZib29PTNnzpQHDrqydu1aevXqRfXq1cnJycHR0ZHPPvusTMVYu3ZtNm3aRIcOHbC2tiYrKwt7e3vGjRvH7NmzS/3dggULaNmyJebm5piamtKjRw/ef/99AHlLisSECRMYNGiQbBYdPny41kEbH3zwAWvWrJHX+szMzOjYsSPbtm3D3t5evm/p0qV4e3ujUCjIy8tj3rx5snevhImJCVOmTKF69eoUFBToPJDTVIalKUZ4/ud46tSpsgKztLTEwsJC3vdobGxMtWrVmDp1Kg0bNgSK12VZDBo0CFdXV9mRTXOvrLRWbG5uXq57hMsLg4LyWFEVCP4FzJ8/H3Nzc3mzcUFBAZ9++ilffvklbdq0ITw8vELy3bJlC3/++Sc1atSgb9++GBsbc/jwYYYPH465uTlxcXFin7DgX0NmZiY9e/bkypUrdOvWjUWLFv3TIhXj5TxMUiD4B7h165bs4i6dESuZ4Spy87FKpZL3qH7xxReYmpry6NEjoNDMJJSi4N9Cp06duH//PpmZmRgaGup96PyLwmh2WfYJgeA/RIsWLfjrr7/466+/5LVFBwcHPvzww3LZllMajRs3xsDAgJSUFB4/foxKpeL111+nR48eTJky5aU9DF0g0Je9e/dy584dateuzaxZs2QHopcNYUoVCAQCgUADYaMRCAQCgUADoRgFFYqIuiIQCCobQjFWUvSJRr57926CgoLw9PTE3d2dd999l/Xr15fL8VWlkZ+fz6ZNm/Q6dFkf/qlo7AJtpJBepb1eRlf88qKkUFv6Mm/ePBwdHenVq5fW9WnTpsl1+N1338nXHzx4IF8vGmmjPJHC5mmGpvovIRTjv5zg4GCmTJnCqVOnUKlUGBgYcOnSJRYuXMjYsWPL5fzDkggNDSUkJETrDNLyRArhVV4b/AXPR0kHyBeN6P5vw8LCAltb2xJPpdEVKQLFhQsXtI7V1DzgQfPMVOlYThMTE1xcXJ4536chhc2TToP6ryHc3f7FbN++naioKBQKBbNmzSIwMBBDQ0PWr1/PkiVLOHToED/++KN8ekZ5os8JGc+C5qEGgn+ekg6Q/7czaNAgvaKvlISkGHNycrh8+TIuLi7FopiUpBjd3NwwMTF5rryfJpdmWKr/GmLGWEE8efKEmTNn0qpVK1xdXWnRogUfffSR1hFjkqkiMTGR8ePHo1QqadmypRyeR+LevXuMHj2axo0b06ZNG77++mudZJCOcurbty8ffPABCoUCIyMjhg4dyrvvvktgYKB8ELEk8/z582nbti2urq74+fmxYcMGrVmlZDoLDw8nIiKCNm3a0KhRI0aOHCkfvq0ZUUKK0SgdbHzw4EHef/99lEolSqWSwMDAYued6hLNviRTqkqlIiwsjHfeeQdXV1fatWvH8uXLtQ55Lsn8VVI09rt37zJp0iQ5ir2vry+LFi3SSkuS4bvvvuPTTz+lWbNmKJVKpkyZojUwyMvLY9myZXJaAQEB/PTTT1plPnToED179qRJkyZ4enrSvXt3ORSURFRUFAEBASiVSry9venXr58cy64szpw5w9ChQ/Hy8kKpVDJkyJBiAQF0bYvPQ15eHmFhYfj6+uLm5ib/P5omfV0i0kvR4ocMGUJMTAxdu3aV24p0BqrE/fv3CQ4OpkWLFri5udGtWze+//57rXt8fX1xdHQkJiaGCRMm0LhxY3x9ffnpp5+4c+cOQ4cOpVGjRrzzzjvy2bJQclvSpYyaaJ7RK/0nx48fBwqVk6GhIdevX5cjZUjnzmoeKq5PGbds2UKXLl3w8vJi9+7d8vO8ePFiBg8ejIeHB/PmzSvVlBoZGUn79u1xdXWlU6dObN68Wev7+Ph4+vfvj4+PD0qlkq5du2qdtVpZEDPGCmL69OkcOHAAAwMDrKysePDgAd9++y2GhoaEhIRo3Tt69GgePHiAWq0mJSWF5cuX4+LiQtu2bVGpVAwcOJDr168DhZEVZs+e/dRjwpKTk+XfvP3228W+X7Jkidbn7Oxs+vTpw+XLl4HCcGNJSUksWLCA69evFzuOa+vWrdy5cwczMzOys7M5dOgQJiYmLF++HCsrK8zMzMjKysLMzAxLS0uMjY05d+4c48ePJy8vD3NzczmK/MSJE9m3bx+1atXSO5q9hHS255EjR2T5pQgB58+fZ/Xq1XptlB81ahQXL15EoVDwyiuv8OeffxIREUFmZiZz5szRunf58uXcu3cPU1NTMjMz2b17N9WqVZOPGZs1axZRUVEYGhpiaWlJYmIiEydOJD8/n65du3L+/HnGjBlDfn4+FhYWFBQU8PvvvzN+/Hg2b96Mh4cHBw4ckIPcWltbk5OTw4kTJxg2bBjff/99qbHsjh8/ztChQ+WDsqFw4HHixAkiIiK0zuSEstvi8xIcHMzu3buBwuPHpP/n4cOHcp3qE5H+ypUrjB49GlNTU1QqFefPn2fChAlER0ejUCh4+PAh3bt3Jzk5WT7a7eLFi0yePJl79+4xbNgwLfmmTZtGZmYm+fn5/Pnnn0ydOpUaNWrI9fHHH38wZcoUlEplqeHIdCljUZRKJXv27CEhIYHevXsTGxsLFJ5fK5UrLi6ODh06cO7cOQD5bGR9yxgaGiofxt+4cWN+++03oPA8Uyg8+FsKM1WUFStWEBYWJvdpN27cYN68eaSnp8sD4yFDhpCZmYm5uTnGxsZcvnyZWbNmYWFhUeZRgC8bYsZYAahUKoyMjHBwcGD//v3ExsbyySefACVHwa5VqxbHjh3j8OHD8pqM1MEfOHCA69evY2hoSGRkJPHx8YSGhmqdO1gSmiGMdFkn2LRpE5cvX8bKyorvvvuO+Ph4+aimr7/+utgM48GDB2zfvp24uDh69uwJFEZSgMLOQQoj06lTJzlS+61bt3Bzc2Pw4MGcOnWK2NhYatWqRV5eHufPnwf0j2YvIYXfUigUrF+/nvj4eCIjI1EoFPzyyy/s2bPnqXUgkZqaysWLF+Wj2Y4dO8bq1avx9vYucU0zJyeHPXv2cOLECVq1aqVVF9euXSMqKgpLS0v27dtHbGysfA7qF198ARSuJ+Xn59OuXTs5an2vXr3w9fWVQyJJs4h+/foRGxtLbGwsHTt25O2339aKI1iUefPmkZubS9u2bTl58iQnT56UB1wlne1RVlssC8kyUPQVGRkJFCoxSWGsXLmSkydPsnr1agD27dvHkydP9I5If//+faZPn05cXJzcVpOTk+VIG2FhYSQnJ/PGG29w4MAB4uPj+fDDD+W613xGoPA5OXr0KD///DOGhobk5uZStWpVjhw5onWt6LMgoUsZS0Iyp0pKT1KMPj4+8mHbp06d4saNG6SmpmJgYCD/Rt8y1q1bl2PHjvHrr79Sp04dre9++OEHjh07RpcuXYrJmJaWRnh4OIaGhuzYsYPY2Fh27dqFQqEgPDycrKwszp49S2ZmJs7OznI7Hjt2LG3bti0Wk/NlRyjGCkCaOf3www9kZGTwf//3f3LHXFIH36tXL6pWrcprr70mjwSlo8gkRert7U2zZs0ACAwMfGqwWM3wQLo42EhHofXo0UM+FL5bt264u7sDaAW4hcLT/93d3TE0NJTD2xSNYlAUPz8/tm7dyogRI4iJiSEsLEzuLKR60TeafVH527dvLx9Q3KxZM9q3b6/1vS5YW1tTp04d8vLy6NOnD6GhoRQUFLB27VqmTJlS7P527dpRp04dFAqFPDuX6kJyosjKyiIoKIjWrVvLB5NLa0lubm4YGBjwyy+/MGTIECIiIujevTsrVqyQvTqlSA7btm1j1KhRbNu2jfHjx7Ns2TK5zRTljz/+kMORTZ06FTMzM8zMzOS4hlevXuWPP/7Q+k1ZbbEsSnO+kWIiSvVgb28v/ye+vr4cPHiQY8eO8corr+gdkb5KlSpyBIkOHTrI1yV5pfuHDBnCG2+8gYGBASNHjqR69erk5uby66+/aqXn7++PhYUFtWvXlpcYunbtiqWlpda10upDlzKWhFTPV69e5fz58yQnJ2NpaYmTkxNNmzYFChWjpJAdHBzk+KT6lvGdd96hSpUqxcI8ubu7Y29vj5mZmRwNRJMzZ87I4ajGjBlD69atGTZsGGq1moyMDM6dO4eTkxMKhYILFy7Qt29fVqxYQbNmzVi1alWFnhxVEQhTagWxY8cOvvjiC1JSUqhWrZps6ipJSWl6tUkmUuk+aW2laNDRGjVqlBnMVjMa/L2JUrAVAAAgAElEQVR796hXr57W9wkJCVpeZ9IaRknRwBMSEopFA9eUWTJvPU0Bp6SkMGPGDGJiYjAyMsLJyUl2IJD2O+obzV5C32jmmpQUY3Dt2rXMmTOHEydOEBkZSWRkJObm5owdO7ZYWLGy6kJaU87NzS0xqHJycjJNmjQhJCSEVatWcfToUXm2Wb9+fT777DOcnJwICAjg3r17bNiwgejoaC0l8vnnn8sREjTRLLNmvWi+f/DggdbMoay2WBZPc76R6qGoB6emLPr+h1ZWVnJILs2lBaktldSmDQ0NqVmzJikpKSWmJyG1S015pWul1YcuZSwJKR5rVlaW7Bfg5eWFoaEhnp6eGBsbk5iYKEe20BwI6VvG0ryEn+Y9LJVNrVaX2o69vLwICwtj6dKlxMfHEx8fT1hYGHZ2doSGhsoD1sqAmDFWAJJd/fHjx2zbto2jR4+WGZxVM8Zd0dh70sOanJysdb3o56LUqlVL7iwPHz6s9Z1arWbatGm0bduWNWvWAH8rXl2jgWue31lSvMCSroWEhHD48GH8/f2JjY3lm2++KbY2pm80+6K/e5r8klyaTjQlmbjq16/PypUrOXr0KJ9//jkffPABmZmZLF68uMxgtEXLLcnl6OgoR7K/cOECCQkJXLp0SY4jGBgYyI8//sju3bv5+OOPcXNzIykpSTbBAwwePJiDBw+yY8cOpk2bRv369UlISGDp0qUl1onmfybVQ9H3RTvEstri81BaO46KiiI2NpasrCy9I9I/rQ2W1KbVarXcnoqmV1KsSV3jT4JuZSwJY2NjXF1dAWTnHsmEamFhgYuLC/n5+fz444+AtmLUt4yaa7S6XC+aj4WFhdyOL126xOnTp7l06ZJsfm3bti07duxg3759hISE0KJFC+7duydbKSoLQjFWAFevXqWgoABDQ0Ps7OxQqVSyl6a+J8FIsdji4+PlmcS2bdt0UhaSK/nmzZv59ttvycvLQ6VSsWDBApKSklCr1bJ5VjrMd8eOHSQmJgKFBwNI5ht9N2pLHUp6ejoFBQWo1Wp57cfa2hoLCwvOnj3LhQsXgL/r5Vmj2Uvy79+/X16PO378uOzZKZl7pc7r+vXr8vqd5gZqKKzrpk2b0qpVKx4+fIifnx9jx46VZyVS5Atd8PDwwMDAgMuXL8uzvB07dqBUKunZsyf5+fksXLiQxo0bM27cOOrWrUtQUJAcvFXKS/IUDQkJwdnZmUGDBtG6desy5alduzZ169YFCmMHZmVlkZ2dLSvShg0bluq0U95IHf2ff/4pr8MdPXqU4OBgBg4cyOPHj/WOSP80pPQiIiL4888/KSgoIDw8nJSUFBQKhbweXF7oUsbSkJSdZL3QDOQrvZdMmZoeqfqWsbTBztMGQdKsNj09nS1btgDw66+/4uHhQceOHUlLSyMyMhIPDw969+6NjY0NPXr0oE+fPkDhjLMiDxQpb4QptQJwdXVFoVCQnZ1N+/btMTY2lkeL+u7va9OmDe7u7iQkJDB48GDMzc3JzMykevXqZTpdQOE2jTNnzvDDDz/w0UcfMXfuXNRqtTxbGjZsGI0aNQIKnTp27drF9evXCQgIoGrVqvJaSt++feU1Ll2RZqv79+/H09OTLVu20LhxY65du8amTZvYtWuXHNEb/q6XoUOHsm/fPjmavaGhodaaR2kPsBQ0+9SpUwwYMAALCws5TV9fX3kNysfHBwMDAx4/fkz79u2xtrYmOzsbIyMjuVNyd3enVq1anDt3jq5du2JjY8Pjx4/Jz8/HwcFBr7pwcHCgc+fO/Pjjj4waNQorKyu5g2zfvj1GRkb4+fmxZcsWfv31V7y9vTEzM5OVdkBAAFC41rVv3z6++eYbfvrpJwwNDeXySfeUxIwZMxg1ahTR0dF4e3sDhbNlU1PTMgP/6suePXtkD8ei/PTTT7z55psEBASwa9cupkyZwty5c2X533//fezs7LCzs8Pf358ffviBqVOnMmfOHLkN6hqRXpOxY8cSHR3NH3/8Qbt27TAzM5PXsv/3v/+V++Z1XcpYGpIzDRQOHDW3Sfj4+MixQKtVq6Zl+n5RZbSysqJfv36Eh4czd+5cli1bJg96mzZtiqWlJe3atWP16tUkJibSvHlzLCws5EGbv79/pYoSI2aMFUCdOnVYsmQJ9vb2GBkZ8cYbb7BgwQKsrKx48uSJ7H2mC0ZGRqxduxY/Pz/MzMywsrJi1qxZOs3gDAwMWLp0KSEhIbi7u8vu3Eqlkk8//ZTJkyfL91pYWLBt2zb69evH66+/jkqlol69esycOVN2FtGH7t2707RpU6pUqYKlpSVqtZqpU6fi5+eHhYUFxsbGdOzYUXYnl2Z5zxrN3tjYmIiICEaPHk2dOnXIycmhVq1ajB07luXLl8sKtWHDhixYsIBatWqRm5tL3bp12bhxo5bJzNjYmHXr1tGvXz9q1qxJeno6tra2BAYGsn79ep0io2sSGhrK8OHDqVmzJpmZmdjb2zNz5kyGDx8OQKNGjYiMjJQj0KtUKho2bMjMmTMZPXo0UOg0sXr1ajw8POQOxtXVlaVLl/Lee++VmnebNm3YvHkzrVq1wtTUFGNjY1q2bMmWLVu0Zh7PS1ZWFvfv3y/xJVkD5s+fz+jRo6lVqxbZ2dnUrl2bsWPH8vHHH8vpPG9Eek3s7OyIiooiMDCQatWqkZubi5OTE59++imDBw8ut7JroksZS0KpVMptVBq8SXh6espbbYo6Wr3IMk6cOJHJkydjb29PdnY2NWvWZMyYMcyaNQsotFBs2rSJDh06YG1tTVZWFvb29owbN65cB2EvAhF2SvBSIaLZCwSCf5rKM7cV/CcQ0ewFAsE/jVCMgpeKgQMHkpGRwQ8//MCff/5Jbm4utWrVomPHjvLGZYFAIKhIhClVIBAIBAINhF1KIBAIBAINhGIUCAQCgUCDf+Ua45kzZ/R27f6nyMnJqTSyvsyIehTog2gv5UNlqsecnBz5pKmn8a9UjKampvJB2C87Fy9erDSyvsyIehTog2gv5UNlqseLFy/qfK8wpQoEAoFAoMELnzGqVCrmzZvHnj17MDExYeDAgcWCaULhEWVSGBdNfHx85KCaAoFAIBCUNy9cMS5evJjTp0+zfv16+dT1mjVrFguOGRYWRm5urvz56tWrDB06lIEDB75giQUCgUDwX+KFKsbMzEy2b9/OmjVrcHV1xdXVlaFDh7J58+ZiilEKxAmF8c9GjRpFt27d9I7yIBAIBAKBPrzQNcbExERUKpXW4cWenp78/vvvZYYk+fHHH0lKSmLixIkvQkyBQCAQ/Id5oYoxJSUFKysrLfde6UR4KXp3Saxdu5bevXsXC7opEAgEAkF580IVY1ZWFiYmJlrXpM+aEdU1OXXqFElJSfTr16/C5asMODo6yi/NALs5OTm4ubnJ30VFRZVLfikpKfzf//3fM8l47949oNCRytHRUQ4+C3Dz5s1iAYIFgrLIzMxkxYoVdO7cGTc3N5o0acKwYcOIi4urkPyOHTtWogPg83D79m0cHR1xdnYu13QF5csLXWM0NTUtpgClz6XF2fv5559p2rRpmUE+i5KTk6PXnpV/kuzs7GeWdc+ePXJA07Nnz2rV7Z07d567Di5evMjcuXOpX7++ViBVXbly5QqPHj2So8irVCouXrzI0aNHWbZsGa1atdIKyPo8PE89Cl5+srKymDFjBklJSZibm+Po6EhycjIxMTEcOXKEjz76iCZNmuic3tPaS0REBLt372bcuHG88sor5VEEAFJTU/H29sbQ0PBf0V7/rc/dC1WMtra2pKWloVKp5JliSkoKJiYmWFlZlfibmJgYhgwZolc+/4UN/lWrVtX67Z49e+TrGRkZ1KxZ87nr4PLly2RlZVG1atVnSqtBgwbY2dkREhKidf3QoUPk5eVhbW1dbv9TZdpoLNCfkJAQkpKS5MDV1apVIz8/n5kzZxIVFcWGDRsICgrSOSzZ09pLSkoKQLk8R0Vp1qxZuab3T1KZnruXdoO/k5MTCoWC06dPy9fi4uJwcXGRo5Jr8tdff/HHH3/g5eX1IsWsFHh4eHDv3j2uX78OQGxsrHy9KDdv3mT8+PH4+PjQqFEj+vTpw7Fjx+Tvo6KicHR0ZMqUKQwePBilUsmKFSuYOnUqACdOnMDR0ZHbt29TUFDAihUr8PX1xdXVFW9vb0aPHs2dO3dKlVXTlBoVFcUXX3wBwM6dO3F0dJRnvp07d9b6XdeuXXF0dOTQoUPPV1mCSk1+fr68NDBp0iTZ18DIyIhJkybxySefsHbtWgwNDcnNzWXFihW88847uLq60q5dO1auXKnl3Ofo6EivXr2Ij48nMDCQxo0b06NHD9kkO336dPn5CA4Olpdxbt++zZgxY/Dx8cHV1RVfX1/CwsLQDFB04MAB/Pz8cHNzo2/fvhw6dAhHR0etNIqaUgsKCmTPfDc3N1q3bk1oaCiZmZnyPb6+vjg6OnLq1KlSryUmJjJkyBD5Off39+ebb76R75ee8zlz5rB69WpatmyJj48PkyZNIiMjQ74vMTGR/v374+7uTrNmzfj4449JT0+Xv4+NjaV37940adKEXr16ERgYSHR0tPz9o0ePCA4OplWrVri5ufH222+zaNEire13LzsvVDGamZnRrVs35syZQ0JCAgcPHiQiIoL+/fsDhaO07Oxs+f4rV66gUCioV6/eixSzUuDt7Q0UroNkZGTw+++/U79+/WIOSnfv3qVnz57s3bsXGxsbnJyciIuLY8iQIRw+fFjr3u+//56rV6/i4ODAK6+8gouLC1C4daZdu3aYmZmxYcMGwsLCSE9Px8fHBzMzMw4ePMj8+fN1kvv111/HwcFBft+uXTt8fX2xtrbm2rVrXL58GYAbN25w+fJlXn31VVq1avVcdSWo3Fy/fl3uuBs1aqT1XbVq1ejTp4/cpiZNmkRYWBipqal4enqSlpbG8uXL5UGeRG5uLsOGDcPc3BxTU1MSEhKYNm0aBQUFODs78+qrrwLg7OwsDzbHjh3LgQMHeO211/Dy8iI5OZkVK1Zw8OBBoFChjBs3jqSkJBo0aMDjx4+ZPHnyU8u3ePFi5s2bx+3bt1EqleTn5xMZGcnQoUPJz8/XqY7UajVDhw7lyJEj2Nvb4+npyc2bN5kxYwYxMTFa9/7www9s2LCBunXrkpaWxg8//MD69euBQlPvgAEDiI2NxcXFhWrVqrFt2zY5FuqjR48YMWIEZ8+excnJiTfffJOLFy8ybtw4+dmdO3cuUVFRmJub07RpU7KysoiIiJAHxJWBF77BPzg4mNmzZzNgwACqVq3KmDFj5JlCy5YtCQ0NJTAwEICHDx9iYWEhoraXgKZirFWrFnl5eXh7e5OTk6N139q1a0lNTeWdd95h+fLlGBoaEhkZSWhoKKGhobRp00a+V6FQsGvXLmxsbIBChTh16lQaNmzIqlWrgMKOYuzYsXTu3BkHBwd+//13unfvTlJSkk5yN2vWDH9/f7744guaNm3KwoULAejSpQtbtmxhz549NGzYkL1798rXS7ImCP47PH78WH5ftWrVUu9LSEhg7969WFhYsGvXLmrWrMmdO3fw9/fnxx9/pH///vIh0vn5+YwYMYLhw4eTmJhIQEAAt27d4tGjR/Tv35/o6GiOHTtGv379CAwMRKVSERQUREpKCqNGjcLAwIC5c+eyZcsWue2vW7cOtVrN+++/z4IFCygoKGDChAnyMkdJ3L9/nw0bNmBkZMTmzZtxc3MjLS2Nbt26ERcXx549e4rt8S6JzMxMHjx4gLW1NQsXLqRevXocOXKEu3fvUqdOHa17c3NziYqKonbt2ixYsIANGzbw+++/A7B582ZSU1MZPHgw06ZNA6BPnz4cOXKEixcvYmhoSFZWFvXr12fJkiU8evSIGzdukJ2djaWlJVBooYLCQUr79u25efMmMTExuLm5PbUcLwsvXOOYmZmxaNEiTp8+zZEjRxg8eLD83aVLl2SlCNC5c2eOHz/+okWsFLi6umJubk5sbKxs9pGUpSaSeSgwMFAeYHTv3h0oHIlrbpN58803ZaVYGt7e3nh7e/Ptt98SFBREUFAQQDGFrC/vvfce8PdaqaQYAwICnitdQeVHUxk+efKk1Puktt68eXNq1qwJFK4RtmjRQut7iXbt2gGF7V6iNHOfiYkJXbp0wdbWlo8++gg/Pz+2bNkC/O1AKCnIjh07AmBgYIC/v3+ZZTt79iz5+fm89dZbsuKwtLSkQ4cOJcqsiaYJ18LCgp49e5KamkqnTp3w9fXlxx9/pEaNGtjb22v9rmHDhtSuXRso9APQLIM064uIiJC9yyUZzpw5Q4MGDWjTpg1JSUm0adOGMWPGEBsbS+3atWUHyYEDB2JoaMi4ceNo2rQpS5YswdzcHFdX1zLr4mVCTMUqKcbGxiiVSh4/fsy3334LUOJarIGBQZnpaH5vYWHx1HxXrFhB//79+f333+nWrRthYWF6Sl4ybm5uNGzYkGvXrnHo0CHOnz+Pg4NDpRplCiqG+vXrU6VKFaBwVqjJtWvX6NChA4sXLy7V7CgpkKLPgrm5OYCWRUJT2WiSnp5O7969+fjjj6latSqTJ0+mb9++Wr+R1jE109Dn+dNFZrVaLb8vOhidO3cuX3/9NUOHDqVGjRp8//33DB8+nKVLl2rdp7kDwMjISCs/aWDg7OxMu3bttF42NjYYGhqyZs0avvrqK/r164epqSnbtm0jKCiIr7/+GoB3332XvXv3MmnSJNzc3IiNjWXmzJmVasudUIyVGGmGmJaWhr29PTVq1Ch2j6RYdu7cKT9U0oJ80Rmi9JBISDNMzYfxq6++AgpN4j169NAyc+lKSenC37PGjz/+GBCzRUEhJiYmcltYtmyZbOVQqVQsXbqUmzdvkpCQIJtJf/vtN9kZ7M6dO7JFpeh2jrKUVtE2euTIERITE3FwcGDmzJn4+vpy48YNrd9Isy/J2lFQUMDu3bvLLJurqysGBgYkJiZy7tw5oPB53r9/v5bM0sDg7t27crkePXokp5OUlMSsWbPYsWMHkyZNYuvWrSxfvhygmC9BWeVu2LChLNeqVatYtWoVDRo0oFGjRiiVSk6fPs2MGTM4evQoM2fO5LPPPuOjjz6S81GpVMyfP5+QkBDef/99vvrqK3755RcMDQ05c+YMqampZdbHy4JYvKnEaM4QSzKjAgwbNoyff/6Zffv20aVLF6ysrDh9+jRGRkZMnz69zPQlB4SzZ88SFBRESEgIb7zxBpcvX2bEiBHUq1dP9ojT9Gp7GlK6Bw4coFevXqxfvx4zMzPeffddPv30U5KTkzEwMKBr1646pyn4dzNlyhROnz7N+fPn6dChAy4uLty8eZO7d+9iYWHBjBkzeOutt2jdujUxMTEEBATg4uLC+fPnSU9P591338Xd3V3n/KQB46pVq4iNjZWDF1y6dImePXvy5MkT2XQqeY8OGDCAn376iaioKC5dukROTg63b98uM5/XX3+dDz74gK1btxIUFETjxo25evUqDx48wNvbWzapurm5ce3aNUJDQ/ntt9+IjY3FzMxMfu5sbW2JiYnh3r17nDlzhlq1asnrhs2bN9e53L1792bjxo1s376d8+fPk5uby+XLl6lZsyb9+/cnLy+P/fv38+TJE44fP46JiYlsfm3evDkmJibcuXOHw4cP8+677+Ls7MzNmzdRq9U4OztrnYH9MiNmjJUYNzc32SxS2pYWe3t7duzYQceOHXn48CEXLlzA09OT9evXP9Xb08vLi44dO6JQKLh58yZZWVksWbKExo0bk5aWxq1btxg2bBj29vakpqZy9epVneTu0KEDzZs3Jy8vj/v378vrRtWqVaNly5ZAoaKX1okEgldeeYWvv/6akSNHYmNjQ1xcHGq1ms6dO7Nt2zacnJwwMDBg5cqVjBkzBmtra06dOoWlpSUffvih7OSlK4MGDeLNN98kJSWF5ORkXFxcmDFjBnZ2dly+fBlzc3MmTJgAwMmTJwFwd3fns88+o27duly5cgU7OztmzJgBUOzEL00++eQTgoODqV27NvHx8RgaGjJo0CDCw8NlK87kyZNp1aoVmZmZxMXFMXr0aK1DN6pWrcrmzZvp3LkzaWlpnDhxAktLS0aPHs2kSZN0LrednR0bNmzAx8eHpKQk7t69i6+vLxs3bsTMzIxatWqxceNG2rZty507d7hw4QKvv/46wcHB8u6CpUuXMnjwYExNTTl+/DhZWVl069aNNWvW6PUf/JMYFJRmVK/EVLZNp5VF1oomLy8PPz8//vjjDy3vZF0Q9SjQh4poL/v27ePGjRvUrVtXdsD5+uuvmT17Nt26dWPRokXlmt/LQGV67vSRVS9T6tGjR3nrrbd47bXX2LlzJz///DOurq6MGjUKhULxTMIKBAATJkwgKSmJP/74g9deew0/P79/WiSBQC/S09P59NNPgUJri5GRkezRKXnACioHOptSw8PDGTNmDLdu3SIuLo6ZM2dSo0YNfvrpp3/lSEjwYklKSuLGjRu4uLiwatWqUs/OFQheVgIDA/nwww+xt7fnzJkzxMXFUbduXT7++GN5rVBQOdB5xrh161Y+//xzGjduzMcff4xSqSQkJISEhARGjhzJzJkzK1JOwb+cp3nvCQSVgdGjRzN69Oh/WgzBc6LzjPHhw4dyJIRffvmFt99+Gyg8HUXzGDeBQCAQCCozOs8YHRwciIqK4rXXXiM5OZl27dqhUqlYt25dpVl8FQgEAoHgaeisGKdNm8b48eN5/PgxI0aMwN7enjlz5hAdHc3atWsrUkaBQCAQCF4YOitGHx8fjh07xpMnT+TYiWPGjOGjjz4SHqkCgUAg+Neg13aN9PR0rly5Ql5eXrEzBf9NwTcFAoFA8N9FZ8W4c+dO5syZU6KjjYGBgV7RkQUCgUAgeFnRWTGuWbOG7t27M2HCBJ2iMAgEAoFAUBnRebtGcnIyffv2FUpRIBAIBP9qdFaMvr6+REdHV6QsAoFAIBD84+hsSn311VdZtmwZP/74I3Xq1Cnmibp48eJyF04g0IW2bduSmZnJiRMn/mlRBALBvwCdZ4zp6en4+/vTsGFDqlSpgpGRkdZLV1QqFbNmzcLLy4sWLVrw5ZdflnrvtWvX6N+/P40aNaJjx45yAFCBQCAQCCoKnWeMoaGh5ZLh4sWLOX36NOvXr+fevXtMnTqVmjVr0qVLF637MjIyGDRoEE2bNmXu3LnExMQwadIkHBwcePPNN8tFFoFAIBAIiqLXPsa9e/eybt06kpKSyM/Pp169evTt25f3339fp99nZmayfft21qxZg6urK66urgwdOpTNmzcXU4zfffcdxsbGzJ8/H4VCgb29PUePHuX06dNCMQoEAoGgwtBZMW7ZsoWlS5fSt29fRo0ahVqtJj4+npCQEPLz8+nZs+dT00hMTESlUuHp6Slf8/T0ZNWqVeTl5WFs/Lc4sbGx+Pr6aq1liqPnBAKBQFDR6KwYIyIi+OSTT+jWrZt8rX379jRs2JDVq1frpBhTUlKwsrLC1NRUvlatWjVyc3P566+/qFGjhnz9jz/+wMnJidmzZ3PgwAGqV6/O+PHj5ageAoFAIBBUBDorxr/++gulUlnseuPGjbl7965OaWRlZWFiYqJ1TfqsUqm0rmdkZPDVV1/Rp08fwsPDOXLkCGPGjGH79u24urqWmU9OTk6lOYknOzu70sj6spKZmYlarRb1KNCJAQMGoFar2bRp0z8tSqXn39p/6awYnZyc2LlzJxMmTNC6vnPnTp3X/ExNTYspQOlz0YjtRkZGNGzYkP/9738AODs7ExcXp5NiNDU1rTShsC5evFhpZH1ZMTc3JzMzU9SjQCdEeyk/KlP/pY8C11kxTpkyhYEDB3Ls2DHc3d0BSEhI4PLlyzqv/dna2pKWloZKpZJniikpKZiYmMgROyRq1KhBnTp1tK7Vq1ePq1ev6iqyQCAQCAR6o/M+RqVSSVRUFI0bN+bGjRvcvXuXpk2bsmfPHry9vXVKw8nJCYVCwenTp+VrcXFxuLi4aDneSPlduHBB69rVq1epVauWriILBAKBQKA3em3XcHBwIDg4+JkzMzMzo1u3bsyZM4eFCxeSkpJCREQE8+bNAwpnj6+88gpVqlThgw8+YOPGjSxZsoQPPviA6Ohojh07xo4dO545f4FAIBAInkaZijEoKIjVq1djaWlJnz59MDAwKPXeLVu26JRhcHAws2fPZsCAAVStWpUxY8bQuXNnAFq2bEloaCiBgYHUrFmT9evXExISwsaNG6lduzbLly/H2dlZj+IJBAKBQKAfZSrGZs2ayfsImzdvXi4ZmpmZsWjRIhYtWlTsu0uXLml9bty4Md9880255CsQCAQCgS6UqRjHjh0rv3/jjTfo3Llzse0WmZmZfPvttxUjnUAgEAgEL5gyFePDhw/JzMwECk2g9evXx8bGRuuexMRElixZQr9+/SpOSoFAIBAIXhBlKsZTp07x4YcfymuLmqfbGBgYUFBQAMB7771XgSIKBAKB4GXj3xzurUzF2LFjR6Kjo1Gr1bRv354dO3bw6quvyt8bGBhgbm6OtbV1hQsqEAgEAsGL4KnbNWrWrAkUmkxLQ3PDvkAgEAgElRmd9zEmJyezZs0arly5glqtBqCgoACVSsX169eJi4urMCEFAoFAIHhR6HzyzUcffcRvv/2GUqnk7NmzeHh4UL16dS5cuMDEiRMrUkaBQCAQCF4YOs8Y4+LiiIiIQKlUcvToUdq2bYunpyfh4eEcOnSIvn37VqScAoFAIBC8EHSeMRYUFGBrawvAm2++KZ9j6ufnx7lz5ypGOoFAIBAIXjA6K0YXFxe+++47oPAw8CNHjgBw69atipFMIBAIBIJ/AJ1NqZMnT2bkyJHyQeDr1q3Dz8+P+/fvExAQUJEyCgQCgUDwwtBZMSqVSqKjo9UI/aIAACAASURBVMnKysLGxoZvv/2WAwcOYG1tjZ+fX0XKKBAIBALBC6NMxahWqzE0NJTfm5mZYWZmhlqtpnr16vTu3fuFCCkQCAQCwYuiTMXo4uLCkSNHeO2113B2di4z7NTFixfLXTiBQCAQCF40ZSrGDRs2YGVlBcDGjRtfiEACgUAgEPyTlKkYvb295feHDx/G398fJyenChdKIBAIBIJ/Cp23a1y6dIkePXrQsWNHli9fzrVr1ypSLoFAIBAI/hF09kpdt24daWlp7N+/n7179xIeHk79+vXx9/fHz8+P2rVrV6ScAoFAIBC8EHSeMQJYWlry/vvvEx4ezrFjx+jatStr1qyhQ4cOOqehUqmYNWsWXl5etGjRgi+//LLUewcPHoyjo6PW68CBA/qILBAIBAKBXug8Y5S4du0a+/fvZ9++fVy+fJkWLVrQpUsXnX+/ePFiTp8+zfr167l37x5Tp06lZs2aJaZx9epVli1bhpeXl3xNcgYSCAQCgaAi0FkxfvHFF+zbt4/r16/TpEkTevXqRceOHfVSVJmZmWzfvp01a9bg6uqKq6srQ4cOZfPmzcUUY3p6Ovfv38fd3Z3q1avrXiKBQCAQCJ4DnRXjb7/9Rs+ePencufMzK6rExERUKhWenp7yNU9PT1atWkVeXh7Gxn+Lc/XqVUxNTeVAyQKBQCAQvAh0XmPctm0bAwYMQK1Wc/z4cbKzs3nw4IFemaWkpGBlZYWpqal8rVq1auTm5vLXX39p3Xv16lUsLS2ZOHEiLVu2pHv37hw+fFiv/AQCgUAg0BedZ4yZmZlMnz6dffv2YWhoyN69e1mwYAGPHj1i5cqVvPbaa09NIysrCxMTE61r0meVSqV1/dq1a2RkZODr68uoUaPYv38/I0eOZOvWrTRq1KjMfHJycirNSTzZ2dmVRtaXlczMTNRqtahHgU6I9lI+/JvrUWfFuHDhQh49esTBgwfx9/cHYPr06UybNo2QkBCWLVv21DRMTU2LKUDps5mZmdb1yZMnM2rUKCwtLQF46623OH/+vE6K0dTUtNIcRHDx4sVKI+vLirm5OZmZmaIeBToh2kv5UNnqUR8FrrMpNTo6muDgYGrVqiVfq1u3LrNnz+bo0aM6pWFra0taWpqWckxJScHExKSYE4+RkZGsFCXq169PcnKyriILBAKBQKA3OivG7OxsFApFsesqlYqCggKd0nByckKhUHD69Gn5WlxcHC4uLlqONwDjx49n9uzZWtcuXrxIvXr1dBVZIBAIBAK90VkxtmvXjk8//ZS0tDT52o0bN5g3bx5t27bVKQ0pyPGcOXNISEjg4MGDRERE0L9/f6Bw9pidnQ2Ar68v3377Ld9//z03btxg+fLlxMXFyfcKBAKBQFAR6LzGOGvWLIKDg/Hx8aGgoICAgACysrJo2bIlM2bM0DnD4OBgZs+ezYABA6hatSpjxoyhc+fOALRs2ZLQ0FACAwPp1q0b6enpLF++nHv37tGwYUO++uor6tSpo38pBQKBQCDQEZ0Vo4WFBWFhYdy6dYtr166Rl5dHvXr1cHBw0CtDMzMzFi1axKJFi4p9d+nSJa3Pffv2pW/fvnqlLxAIBALB86CzYrx16xZXr14lIyMDCwsLnJyctBxxBAKBoDzIz8/HyMioQvMwNzev0PThxZRDUDE8VTEeO3aM0NBQrly5ouVkY2BggIuLC9OnT6dJkyYVKqRAIPjvYGRkxO7duyss/YcPHwJUaB4A7777boWmL6g4ynS+OXLkCEOHDuWtt95i06ZNHD9+nPPnzxMbG0tkZCT169dn0KBBWl6mAoFAIBBUZsqcMa5cuZKBAwcyZcoUretWVlb4+Pjg4+ODlZXV/7d352FRle0fwL/IJpuQiqYlahqgAwIi4gJpuCVoCVmaCbiVmltm4pYpuAKmlrlmuL9uiVpiSGKuiCuCgqjgbq9KiCKCDMjz+4OX82ME8QwMg8v3c11eMeecOc89N8/p5izzPFi6dClWrFhRqYESERFpQ5lnjMnJyfD29i5zB5988gmSkpI0GhQREVFVKbMwPn78+LnTSr3xxhvSNXsiIqKXXZmFUQiBatXKHgNAR0dHowERERFVpec+lbpr1y6YmJg8c31WVpZGAyIiIqpKZRbG+vXrY82aNc/dSb169TQWEL168vLySh1nV5O08b00bXwOIqp6ZRbGffv2aSsOeoXp6+tj8ODBlbb/ohGTKrMNAPj1118rdf9E9GKQPYg4ERHR64CFkYiIqBgWRiIiomJYGImIiIop8+Gbf/75R/aO6tevX+FgiIiIqlqZhdHDw6PUL/AXzbJRfN358+c1HBoREZH2lVkYo6KipJ8PHTqEdevWYeLEibCzs4Oenh6SkpIQHByMPn36VHqgRERE2lBmYbSyspJ+XrlyJRYuXAgHBwdpWbt27TBjxgx89dVX6NevX+VFSUREpCWyH77JyspCfn5+qcvz8vJkN6hUKjF16lS4uLigffv2+OWXX577nvv376Ndu3YIDw+X3Q4REVF5PHes1CI9e/ZEQEAARo0aBVtbWwghcPbsWSxatAh9+/aV3WBISAji4uKwatUq3L59GwEBAahfvz68vLye+Z7Zs2dzBg8iItIK2YVx8uTJMDU1RUhICO7duwcAqF27Nvr164fhw4fL2kd2dja2bNmCZcuWwc7ODnZ2dhgyZAjWr1//zMJ44MABJCQkoGbNmnJDJSJ67b0qYxQD2h+nWHZh3LFjBwYMGIBvvvlGKozqFqvk5GQolUo4OztLy5ydnbFkyRLk5+dDT081nKysLEyfPh0hISEYN26cWm0REb3OXpUxigHtj1Ms+x7j3LlzkZmZCaCwIJbnDC4tLQ3m5uYwNDSUltWuXRt5eXlSsS0uNDQU7u7ucHFxUbstIiKi8pB9xtiuXTts374dQ4cOLffpc05ODgwMDFSWFb1WKpUqy48fP46///4bERERareTm5v70nyv8vHjxy9NrOXVrFmzqg5BY17139WLgP1FM16lPALazaXswnjnzh1ERUVhxYoVsLCwUDnrA4D9+/c/dx+GhoYlCmDRayMjI2nZ48eP8d1332Hq1KkwMzOTG6JKOy9Lpzh//vxLEyu9ev+zocrF/qI5Fc2lOoVVdmHs27evWk+flqZu3brIzMyEUqmUzhTT0tJgYGAAc3NzabuEhARcu3YNAQEB0rKcnBxMmzYNZ86cQVBQUIXiICIiehbZhdHb2/uZ654+C3yWZs2aQV9fH3FxcXB1dQUAnDp1CgqFQuXBmxYtWqiMugMAn3/+Ofz9/eHj4yM3ZCIiIrXJLox3797FsmXLcOnSJRQUFAAoHDNVqVTiypUrOHXq1HP3YWRkhF69eiEwMBBz585FWloawsLCMGPGDACFZ49mZmaoXr06GjZsqPLeatWqoVatWqhVq5Y6n4+IiEgtsp9KnTx5MmJiYuDk5IT4+Hi0bNkSlpaWSEpKwtixY2U3OGnSJNjb28Pf3x/Tpk3DiBEj4OnpCQBwc3PD7t271f8UREREGiL7jPHUqVMICwuDk5MTjhw5go4dO8LZ2RkrVqzA33//jf79+8vaj5GREYKDgxEcHFxiXdH3Ykpz8OBBuaESERGVm+wzRiEE6tatCwBo2rQpkpKSAADdu3fHuXPnKic6IiIiLZNdGBUKBXbs2AGg8CGaw4cPAwBu3LhROZERERFVAdmXUr/99lsMGzZMeoBm5cqV6N69O+7cuYOPPvqoMmMkIiLSGtmF0cnJCfv27UNOTg7eeOMNbNu2DXv37oWFhQW6d+9emTESERFpjezCCAAmJiYwMTEBUPhl/c8//7xSgiIiIqoqZRZGW1tb6OjoyNoRx5AkIqJXQZmFcdWqVdLPiYmJWL16NYYPHw47Ozvo6ekhKSkJS5cuha+vb6UHSkREpA1lFsa2bdtKPwcFBSE4OBjt27eXlikUCjRo0ABTpkzBwIEDKy9KIiINmTVrVlWHQC842V/XuHPnTqnDsRkZGeHBgwcaDYqIiKiqyC6MHTt2xOTJk3Hy5Ek8fPgQmZmZOHLkCCZNmsSnUomI6JUh+6nUoKAgTJs2Df7+/tIg4rq6uvjoo4/w3XffVVqARERE2iS7MJqamuKHH35AYGAgrly5AgBo3LgxTE1NKy04IiIibVPre4yZmZm4ePEi8vPzIYTA2bNnpXXFH9QhIiJ6WckujNu3b0dgYCAeP35cYp2Ojg6/x0hERK8E2YVx2bJl6N27N77++mtePiUioleW7KdS7969i/79+7MoEhHRK012YfTw8MC+ffsqMxYiIqIqJ/tSas2aNbFgwQJERETAysoK+vr6KutDQkJk7UepVGLGjBmIjIyEgYEBBgwYgC+++KLUbbdt24Zly5bhzp07aN68OSZPnowWLVrIDZmIiEhtsgtjVlYWevToUeEGQ0JCEBcXh1WrVuH27dsICAhA/fr14eXlpbLdkSNHEBgYiLlz58LOzg4bNmzAF198gejo6Ffmcm7Hjh2RnZ2N48ePV3UoRET0P7IL45w5cyrcWHZ2NrZs2YJly5bBzs4OdnZ2GDJkCNavX1+iMP77778YNWoUPD09AQCjRo3C6tWrcfHiRbRs2bLCsRAREZVGdmEsKChAVFQUUlJS8OTJEwCAEAJKpRLnz59XmYnjWZKTk6FUKuHs7Cwtc3Z2xpIlS5Cfnw89vf8P56OPPpJ+fvz4MVavXo1atWrB2tpabshERERqU2tIuPDwcDRv3hwJCQlwcnLC9evX8e+//8qesDgtLQ3m5uYwNDSUltWuXRt5eXm4d+8e6tSpU+I9hw4dku5Bzps375W5jEpERC8m2U+lRkZGYt68edi0aROsrKwwffp07N+/H15eXsjJyZG1j5ycHBgYGKgsK3qtVCpLfY+trS22b9+OkSNHYuLEiThz5ozckImIiNSm1sM39vb2AABra2vEx8fj3XffxdChQzFo0CBZ+zA0NCxRAIteGxkZlfoeS0tLWFpaolmzZoiLi8OmTZvg6OhYZju5ubkvxUg82dnZKCgoeClirYhmzZpVdQga86r/rl4E7C+a8SrlEdBuLmUXRisrKyQmJqJevXp49913kZCQgN69e6OgoABZWVmy9lG3bl1kZmZCqVRKZ4ppaWkwMDCAubm5yrZxcXEwMjKCra2ttKxp06a4evXqc9sxNDR8KTqFsbExsrOzX4pYqRB/V6QO9hfNqWgu1Smssgvj4MGDMW7cOMyePRuenp7w9vaGjo4Ozpw5I/sp0WbNmkFfXx9xcXFwdXUFAJw6dQoKhULlwRsA2LBhA7KysrBs2TJpWWJionTWSkREVBlk32P8+OOPERYWhkaNGqFJkyZYvHgxMjIy4ODggODgYFn7MDIyQq9evRAYGIiEhARER0cjLCwMfn5+AArPHosGKf/8889x8OBBrF+/HlevXsWCBQuQmJgIf3//cnxMIiIieWQXxp9//hnNmzeHQqEAALi7u+Onn35CQEAAfv31V9kNTpo0Cfb29vD398e0adMwYsQI6buKbm5u2L17NwDAyckJP/74IzZu3IiePXviyJEj+PXXX/Hmm2+q8/mIiIjUUual1JSUFKSlpQEAFi9eDGtra5iZmZXYZuPGjZgwYYKsBo2MjBAcHFzqWeaFCxdUXnfp0gVdunSRtV8iIiJNKLMwpqenY+DAgdLr0aNHl9jG2NhY9lOpRJWh6IoDEZEmlFkYXV1dkZycDKBwdo3ffvsNNWvW1EpgREREVUH2U6lPTzl1//59mJiYlJhlg4iI6GX23IdvoqOj8cUXX+DOnTsAgBs3bsDHxwdt27aFi4sL5s+fDyFEpQdKRESkDWUWxsjISIwePRq1atWSzgy/+eYb3Lp1C0uXLsXKlSsRHR2NNWvWaCVYIiKiylZmYVy9ejXGjx+PuXPnombNmkhMTMTZs2fh5+eHjh07olWrVhg7diw2b96srXiJiIgqVZmF8cKFC/Dw8JBeHz58GDo6OujUqZO0zMbGBrdu3aq8CImIiLSozMKoq6uL/Px86XVMTAwsLS1Vxi/NyMiAsbFx5UVIRESkRWUWxpYtW0oj0Vy5cgUnT55E165dVbbZsGEDHBwcKi9CIiIiLSrz6xpff/01/P39sWfPHvz3v/9FzZo1MXToUACFl1XXrl2L2NhYrFu3TivBEhHRi+FVHlijzMLYvHlzREREICoqCjo6Oujevbv0Bf+kpCTo6upi7dq1PGMkIqJXxnO/4F+nTh3079+/xPIvv/yyUgIiIiKqSrJn1yAiInodsDASEREVw8JIRERUDAsjERFRMbJn11AqlQgPD8fZs2eRn59fYuDwkJAQjQdHRESkbbIL43fffYeoqCi4u7vD1NS0MmMiIiKqMrIL44EDBzB//nyVsVPLQ6lUYsaMGYiMjISBgQEGDBiAL774otRtd+/ejSVLluDmzZuwsrLC119/XeH2iYiIyiL7HmP16tXRoEGDCjcYEhKCuLg4rFq1CoGBgVi6dCkiIiJKbHfy5EkEBATAz88PO3fuRO/evTFq1CgkJSVVOAYiIqJnkV0YR4wYgdmzZyMlJQW5ubkoKChQ+SdHdnY2tmzZgsmTJ8POzg6dO3fGkCFDsH79+hLbbt++HV27dsWnn36Khg0bws/PD66urtLYrURERJVB9qXUxYsXIz09HT179ix1/fnz55+7j+TkZCiVSjg7O0vLnJ2dsWTJEuTn50NP7//D8fX1VXkNADo6OsjNzZUbMhERkdpkF8bQ0NAKN5aWlgZzc3MYGhpKy2rXro28vDzcu3cPderUkZYXn9oKAC5duoSjR4+iT58+FY6DiIjoWWQXxtatW1e4sZycHBgYGKgsK3qtVCqf+b709HSMHDkSzs7O6Ny5c4XjICIiepYyC2PHjh2xfft2vPHGG+jQoQN0dHSeue3+/fuf25ihoWGJAlj02sjIqNT33L59G4MGDUK1atXw008/oVq1598Wzc3NlXVpt6plZ2ejoKDgpYi1Ipo1a1bVIWjMq/67ehGwv2jGq5RHQLu5LLMwjhkzBiYmJgAK52asqLp16yIzMxNKpVI6U0xLS4OBgQHMzc1LbH/jxg34+/vDyMgIa9euxRtvvCGrHUNDw5eiUxgbGyM7O/uliJUK8XdF6mB/0ZyK5lKdwlpmYfT29i715/Jq1qwZ9PX1ERcXB1dXVwDAqVOnoFAoSjxoc//+fQwcOBBmZmZYtWqVNA8kERFRZdLqWKlGRkbo1asXAgMDkZCQgOjoaISFhcHPzw9A4dnj48ePAQALFixARkYG5s6diydPniAtLQ1paWl4+PChVmJ98uSJVtoxNjau9Da09VmIiF4Fsh++0ZRJkyZh+vTp8Pf3h4mJCUaMGAFPT08AgJubG+bMmQMfHx9ERkYiKysLvXr1Unl/z549MW/evEqPU1dXF7///nultpGeng4Ald7Ohx9+WKn7JyJ6lWi9MBoZGSE4OBjBwcEl1l24cEH6+dixY9oMi4iICIAal1InTZqErKysEssfPHiA0aNHazQoIiKiqlLmGePJkydx9epVAMCOHTtga2srPaVa5PLlyzhy5EilBUhERKRNZRZGU1NTLF26FEIICCGwatUqle8R6ujowNjYGAEBAZUeKBERkTaUWRhtbW0RHR0NoHDs0sWLF6NGjRpaCYyIiKgqyL7HuG7dOhw8eFAqlEDhfcfIyMhKCYyIiKgqyC6My5cvR2BgIHJycqRl9erVw/fff4+1a9dWSnBERETaJrswbty4EQsXLkSPHj2kZaNHj0ZoaChWr15dGbERERFpnezCmJmZiTfffLPE8rfffhv37t3TaFBERERVRXZhdHFxwY8//ohHjx5Jyx49eoTFixerTDxMRET0MpM98s3UqVMxePBguLm5oWHDhgCA69evo169eliyZEmlBUhERKRNsgvj22+/jT/++ANHjx5FSkoK9PX10bBhQ7i7u8uaI5GIiOhloNZYqQYGBjA1NYWFhQW6deuGf/75B/n5+dLcikRERC872YUxPT0dQ4cORUpKCvLy8tC6dWssWLAAFy9eRFhYmHR5lYiI6GUm+xrojBkz8NZbbyE2NlY6QwwNDYWNjQ1mzpxZaQESERFpk+zCePToUYwaNQrVq1eXlpmammLcuHE4ffp0pQRHRESkbbILY7Vq1VRGvSmSlpYGQ0NDjQZFRERUVWQXxh49emDmzJlITk6Gjo4OsrKycOTIEUybNg2enp6VGSMREZHWyH74Zvz48Zg/fz4++eQT5OXlwdvbG3p6eujduzfGjx9fmTESERFpTZlnjD/++CMyMzMBAP/++y8CAgJw4sQJ/PHHH9ixYweOHTuG6dOnq3UpValUYurUqXBxcUH79u3xyy+/PPc9J0+eRMeOHWW3QUREVF5lFsawsDBpHNROnTrh/v37qF69Ot59913Y2trCxMRE7QZDQkIQFxeHVatWITAwEEuXLkVERMQzt79w4QLGjBmDgoICtdsiIiJSV5mXUhUKBfr37w8rKysIITB8+HDo6ZX+lg0bNjy3sezsbGzZsgXLli2DnZ0d7OzsMGTIEKxfvx5eXl4ltt+0aROCg4PRoEED3L9/X+ZHIiIiKr8yC+OKFSuwbds2PHz4EKdPn0bLli3LdZZYJDk5GUqlUmXQcWdnZyxZsgT5+fklim5MTAxCQkLw8OFDLFy4sNztEhERyVVmYfz1118xcOBA1KhRA7du3cKIESNgampa7sbS0tJgbm6uck+ydu3ayMvLw71791CnTh2V7X/66ScAQHh4eLnbJCIiUkeZhTEsLAwfffQRatSogR07dlT46dOcnJwS46oWvVYqlRXad3G5ubk4f/58hfbRrFkzDUXzYqhoPiriVcplVebxdcH+ohmvUh4B7eZSq/cYDQ0NSxTAotdGRkZyY5bVzqvWKSqK+dAM5pHUwf6iORXNpTqFVav3GOvWrYvMzEwolUrpTDEtLQ0GBgYwNzcv936JiIg0pczCaGpqCn9/fwDQyD3GZs2aQV9fH3FxcXB1dQUAnDp1CgqF4plnokRERNpU5vcYo6OjkZeXBwCYM2dOqUXx0aNHCAkJkdWYkZERevXqhcDAQCQkJCA6OhphYWHw8/MDUHj2+PjxY3U/AxERkcaUWRhHjhwpjXxTpGPHjrh165b0OicnB6tWrZLd4KRJk2Bvbw9/f39MmzYNI0aMkMZadXNzw+7du9WJn4iISKPKvH4phCix7MGDBxUahcbIyAjBwcEIDg4use7ChQulvsfHxwc+Pj7lbpOIiEgu2bNrEBERvQ5YGImIiIphYSQiIirmud+R2LVrl8p3FwsKCvDnn3+iZs2aAICsrKzKi46IiEjLyiyM9evXx5o1a1SW1apVC5s2bVJZVq9ePc1HRkREVAXKLIz79u3TVhyvpVmzZlV1CERE9BTeYyQiIiqGhZGIiKgYFkYiIqJiWBiJiIiKYWEkIiIqhoWRiIioGBZGIiKiYlgYiYiIimFhJCIiKoaFkYiIqBgWRiIiomJYGImIiIrRemFUKpWYOnUqXFxc0L59e/zyyy/P3DY5ORl9+vSBg4MDfHx8kJCQoMVIiYjodaT1whgSEoK4uDisWrUKgYGBWLp0KSIiIkpsl52djSFDhsDBwQHh4eFwdnbG0KFDOf8jERFVKq0WxuzsbGzZsgWTJ0+GnZ0dOnfujCFDhmD9+vUltt29ezf09fUxceJENGnSBJMnT4aZmRn+/PNPbYZMRESvGa0WxuTkZCiVSjg7O0vLnJ2dcfbsWeTn56tsGx8fj5YtW6JatcIQdXR00LJlS8TFxWkzZCIies1otTCmpaXB3NwchoaG0rLatWsjLy8P9+7dK7FtnTp1VJbVqlULd+7c0UqsRET0etLTZmM5OTkwMDBQWVb0WqlUytr26e1Kk5ubi/Pnz1cwWuDdd9+t8D5eBJrIRUV9++23VR1Chb0IeXxdvArH3ovQX16F4w7QTC5zc3Nlb6vVwmhoaFiisBW9NjIykrVt9erVn9uOo6NjBSMlIqLXlVYvpdatWxeZmZkqBS8tLQ0GBgYwNzcvsW1aWprKsn///ReWlpZaiZWIiF5PWi2MzZo1g76+vsoDNKdOnYJCoYCenurJq4ODA+Li4iCEAAAIIRAXF8ezQSIiqlRaLYxGRkbo1asXAgMDkZCQgOjoaISFhcHPzw9A4dnj48ePAQAffPABsrOzMWPGDKSkpGDOnDnIysqCp6enNkMmIqLXjI4oOiXTkpycHEyfPh1RUVEwMTHBoEGDMGjQIACAjY0N5syZAx8fHwBAQkICpk2bhpSUFNjY2GD69Omws7PTZrhERPSa0XphJCIiepFxEHE1fPHFFwgICFBZduDAAdjY2GDWrFkqy7ds2QJXV1fw747SMZekDvYXzWAe5WFhVIOLiwvi4+NVlsXGxqJOnTqIjY1VWX7mzBm0atUKOjo62gzxpcFckjrYXzSDeZSHhVENrVq1wrVr15CZmSktO3bsGAYPHoxLly6pjN5z5swZtG7duirCfCkwl6QO9hfNYB7lYWFUg729PQwNDXH27FkAQGZmJpKTk9GzZ09YWVlJf3E9fPgQly9fhqurK3JzczFv3jx06NABjo6OGDZsGG7dugUAuHnzJmxsbLB48WK4uLhg0qRJWLRoEYYNGwZfX1+4uLggIiICLi4uKt/9PHjwIFxdXZGXl4dFixbBw8ND+8moIOaS1MH+ohnMozwsjGrQ19eHg4ODdCni+PHjaNy4MWrVqoXWrVtLnerMmTMwNzeHjY0Npk2bhqioKAQHB2Pz5s3Iz8/H8OHD8eTJE2m/J0+exLZt2/Dll18CAP7++29069YN69atw3vvvYf8/HwcOXJE2v7PP/9Et27doK+vj0GDBuG3337TYhY0g7kkdbC/aAbzKA8Lo5pcXFykCZNjY2Ph6uoKAHB1dcWxY8cAFM4M0qpVVkEeMwAAF1dJREFUK2RmZmLnzp2YMmUK2rRpAxsbG8ybNw/Xr1/HoUOHpH36+fnBysoKjRs3BgBYWFigf//+sLW1hZmZGTp16oTIyEgAhcPi7d27F15eXgAAExMT1KxZU2ufX5OYS1IH+4tmMI/Px8KoplatWkmXIY4dOyZ1qtatW+Pq1atIT09HXFyc9LqgoAAODg7S+y0sLNC4cWOkpqZKy9566y2VNp5+3bNnT0RHR0OpVOLIkSOoXr06XFxcKusjag1zSepgf9EM5vH5WBjV5OjoiAcPHiAxMREpKSnSL7du3bpo1KgRTp06hbNnz8LV1VVleq3injx5onIZ4untnn7dvn176OnpISYmBpGRkfD09JTmqXyZMZekDvYXzWAen+/FjewFZWRkBIVCgY0bN+Ldd99VuQTg6uqKPXv2QEdHBzY2NrCysoKenp7K49EZGRm4du0a3nnnHdlt6unpoVu3boiOjsahQ4ekSxAvO+aS1MH+ohnM4/OxMJZDq1atEBERIV2CKNK6dWtER0dL3/0xNjZG3759MWvWLMTGxuLChQsICAhA3bp14e7urlabPXv2xM6dO2FiYoIWLVpIyx89elRikueXCXNJ6mB/0QzmsWwsjOXg4uKC7OzsUjtVTk6Oynd/xo8fDzc3N4wZMwZ9+/aFgYEB1qxZ88xLFM/i7OyMN954o8RfWmFhYejdu3f5P0wVYy5JHewvmsE8lo1jpb4kcnJy0K5dO/z2229o0qRJVYfzUmMuSR3sL5rxMuVR7/mbUFWLjIzEvn37YGtr+8J3qBcdc0nqYH/RjJctjzxjfAl069YN+fn5WLJkCWxsbKo6nJcac0nqYH/RjJctjyyMRERExfDhGyIiomJYGIvZtWsXbGxsEBYWVtWhVMiNGzewf//+qg4DAODh4QEbGxvpn0KhQKdOnbBixYqqDk0tRYMlX7t2rapDeSXx2NMsHncVw8JYzK5du9CwYUNs3769qkOpkMmTJyMuLq6qw5BMnDgRhw8fxuHDh7F3716MHDkSCxcuxI4dO6o6NHpB8NjTPB535cfC+D8PHjzA4cOHMXLkSFy8eBFJSUlVHdIrw9TUFJaWlrC0tES9evXg7e2Ntm3bIioqqqpDoxcAj73KweOu/FgY/2fPnj0wMDCAp6cnGjVqhPDwcGldQUEB5s2bB1dXV7i6umLJkiXo0qWLNBL948ePMWXKFDg7O8Pd3R1bt25F8+bNcfPmTQCAjY0NFi5ciDZt2mDAgAEACqdp6d27N1q0aAEvL68Sf8WtXr0a7u7uaNmyJWbOnAlfX18ppqysLEyZMgVt27aFnZ0dunXrhj179gAo/Cvx+PHjWLZsGXx9fQEAt2/fxldffQVHR0d07NgR8+bNU5kbrSro6enBwMAAQggsWbIE7u7ucHZ2xuDBg3H16lVpu6dzl5eXh2nTpqFt27ZwcHDAwIEDcfnyZWn7uLg4fPbZZ3B0dISHhwc2bNggrZs4cSJmzpyJb775Bo6OjujWrZvK7/nu3bsYPXo0XFxcYGdnh169euHEiRNaycfrjMee9vC4k0mQEEKI/v37izFjxgghhAgODhaurq5CqVQKIYRYsmSJaN++vTh48KBITEwUn3zyibCxsRGxsbFCCCGmTJkiunXrJk6fPi1OnDghunbtKqytrcWNGzeEEEJYW1uLHj16iNTUVHHx4kVx9+5d4eTkJFavXi2uXr0qIiIihLOzs4iOjhZCCLFz507h6OgoIiIixMWLF8XQoUOFjY2N2LZtmxBCiMmTJ4s+ffqIpKQkceXKFTFlyhTh4uIicnNzRWZmpujTp4+YNWuWyMjIEAUFBcLHx0dMnDhRpKSkiBMnTggvLy8xZ84creT1/fffF1u2bJFeK5VKsWfPHqFQKMTOnTvF2rVrRdeuXUVMTIxISUkRgYGBokOHDiI7O7vU3K1atUp06tRJxMfHi6tXr4oRI0aITz/9VAghREpKirC3txc//PCDuHz5sggPDxcODg5i9+7dQgghJkyYIBQKhVixYoVITU0VQUFBwt7eXmRkZAghhPD39xfDhw8XKSkp4tKlS2Lo0KGie/fuQgghbty4IaytrcXVq1e1krfXCY89zeNxVzEsjEKI27dvC1tbW/HHH38IIYSIi4sT1tbW4q+//hJCCOHm5iY2bdokbZ+amiqsra1FbGysyMrKEgqFQhw6dEhaf/DgwRIH57p166T1CxYsEMOGDVOJYdGiRcLPz08IIUSfPn3EDz/8IK27f/++cHBwkA7Obdu2ieTk5BLxXL9+XQhR+D+a+fPnCyGEiImJEa1btxb5+fnS9seOHRMKhULk5eWVN2Wyvf/++8LOzk44OjoKR0dHYWtrKxwdHUVISIgQQoj33ntPREVFSdsXFBQIDw8PsX37diFEydzNmDFDeHl5ifT0dCGEEGlpaeLEiRNCCCFmz54tevfurdJ+aGio8PHxEUIUHqDe3t7SuocPHwpra2tx/PhxIYQQq1evFv/884+0vuj3WFBQwMJYSXjsVQ4edxXDkW8A7N69G7q6uujQoQMAwMHBAXXq1MGOHTvQsmVL3L17F/b29tL277zzDszNzQEAly9fRl5ensp6JyenEm0Un5/s8uXLOHTokMp2+fn50ij3Fy5cwODBg6V15ubm0gSgANCrVy/s3bsXW7duxeXLl5GYmAig8LLT01JTU5GZmYlWrVpJy4QQyMvLwz///AMrKyuZWSq/kSNH4oMPPgBQOB2NpaUldHV18ejRI9y+fRvffvutyhQ0ubm5Kpd1iueuf//+2Lt3r3Spq1OnTvj4448BFH7W4vPGAYW/i+KXdRo0aCD9bGpqCqAw9wDw2WefYffu3Th9+jSuXLmCc+fOAYDK9DqkWTz2Kg+Pu/JjYUThE3F5eXkqA+oWFBSoPHYtnhoHoei1np5eifVPbwuozk+Wn58PLy8vfPXVVyrbFHVSXV3dZ7YHAAEBATh9+jQ++ugjfPbZZ7C0tESfPn1K/Wz5+flo2LAhli9fXmLdm2++Wep7NK1mzZpo2LBhieVFHX/+/Plo2rSpyjozMzPp5+K5a9SoEfbs2YODBw9i//79WLZsGbZs2YLw8PBSBzUuKChQOcD09fVLbCOEQEFBAQYNGoQHDx7A09MTHh4eyMvLw8iRI9X/wCQbj73Kw+Ou/F77wnj16lWcO3cOkyZNQrt27aTl//3vf/Hll18iIiICderUQWJiIhQKBYDC7yplZmYCAKysrKCvr4/ExES0b98eAKS/eJ6lcePGOHnypEqn3bBhA+7evYuxY8eiadOmSExMRNeuXQEU3vAv+h5PVlYWdu3ahY0bN0p/9R44cABA6f9TaNy4MW7fvg0LCwvpL+2TJ09i7dq1CA0NVT9hGlSjRg3UqlULaWlp6NSpE4DCg/abb75B37590bZt2xLv2bFjB/T19eHl5YUuXbpg1KhR6NChAy5cuIAmTZrg6NGjKtvHxcWp/MX/LCkpKThx4gQOHTqEOnXqAID0F29peaWK47FXNXjcPd9r/1Tqrl27UKNGDXz22WewtraW/nXo0AFOTk7Yvn07fH198fPPP+PIkSNITk7GpEmTAAA6OjowMTGBj48P5syZgzNnzuDMmTOYNWuWtL40/fr1w/nz5/HDDz/g6tWriIyMRGhoKOrWrQsA8PX1xfr167Fnzx6kpqZiypQpyM7Oho6ODgwNDWFkZISoqCjcvHkThw8fRlBQEABIT7uZmJjg+vXrSE9Ph5ubGxo0aIBvv/0WycnJiIuLw3fffYdq1aqpPW1MZRgwYAB+/PFH7N27F9euXUNgYCBiYmKeOQnqw4cPMWvWLBw+fBg3b97Etm3bYGxsjEaNGqFfv364ePEi5s+fjytXrmDHjh34z3/+g/79+z83jho1aqBatWrYvXs3bt26hcjISCxatAgAqvwJ3lcVj72qw+PuObR6R/MF9MEHH4jp06eXum7Hjh3C2tpaXLhwQcyYMUM4OzuL1q1bixUrVojmzZuL06dPCyGEyMrKEuPGjROOjo7Czc1NLFu2TFhbW4s7d+4IIQpvZB85ckRl3zExMcLHx0coFArRsWNHsXLlSpX1ixcvFm3atBFOTk5i9uzZwsPDQ3pA4a+//hKdO3cW9vb2onv37mLLli3C3d1dunG+b98+4eLiIt3wvn79uhg6dKhwcHAQrVu3FlOmTBEPHz7UXBLL8PTTcU/Lz88XCxcuFG5ubqJFixaiT58+Ij4+Xlr/dO6ePHkiQkNDhZubm7CzsxPe3t7i2LFj0vqjR48Kb29voVAoRJcuXcR//vMfad2ECRPEuHHjVNovvv9NmzaJ9957Tzg4OIhevXqJP/74QygUCnHixAk+fFMJeOxVHh53FfPaF0Y5Dhw4ID2NJYQQ6enpKk++/fXXXyIrK0taHx8fLxQKhfTIubqOHTum8pRWXl6ecHZ2lh5RJ3pd8NijqvDa32OUY/PmzdiwYQPGjx8PHR0d/Pjjj7C3t8fbb78NAPj555+xb98+DB06FI8ePUJoaCg8PDxKveEsx969exEXF4fAwECYmJhg7dq1MDU1haOjoyY/FtELj8ceVQVOOyXDnTt3EBgYiOPHj0MIgbZt22Lq1KnSfYmUlBTMmDEDCQkJMDAwgIeHByZPnqzyhJc6srKyEBQUhAMHDiA3NxdOTk6YMmVKiSfIiF51PPaoKrAwEhERFfPaP5VKRERUHAsjERFRMXz45n88PDxw69atUtctXrwYnTt31nJE6rt58yY6deqEqKioUke80BbmktTB/qIZzKPm8B7j/3h4eMDX1xc9evQosc7c3BwGBgZVEJV6njx5gnv37qFmzZrQ1dWtsjiYS1IH+4tmMI+awzPGYoom9nxZ6erqvjDxM5ekDvYXzWAeNYP3GGXKyclBUFAQ2rRpg9atWyMgIABZWVkACkelnzdvHjp06ABHR0cMGzZMuqRx8+ZN2NjYYM+ePejSpQucnZ0xbNgw3Lt3T9r38yb5nDt3LsaOHQsHBwd4eXkhOTkZCxYsQKtWrdChQwdpRu6itorGdszIyMC4cePg7OyMtm3bYtasWdKI9lWJuSR1sL9oBvMoHwujTN9//z2OHj2Kn3/+GWvXrsWlS5cwd+5cAMC0adMQFRWF4OBgbN68Gfn5+Rg+fLjK6PLLly/HvHnzsGzZMiQkJODXX38FUDhli7+/P1xcXLB9+3aMGjUKoaGh+PPPP6X3rl+/Hs7Ozti5cyfMzMzg6+uLjIwMbN68Ge3bt8fUqVNLHXB35MiRuHXrFtasWYPFixdj7969+OWXXyo5U8/HXJI62F80g3lUQ9UMuPPieXpiz6J/7u7uIjMzUzRv3lxl7MD4+Hjxyy+/iPv37wtbW1uxf/9+aV1GRoZwcHAQf//9tzTWX9EM4UIUTuzp6+sr/fy8ST4//vhjad3atWuFQqEQjx8/FkIIkZiYKKytrUV6errKuIIXL14sMcbg/v37xdatWzWYtdIxl6QO9hfNYB41h/cYiyk+sWeRatWq4cqVK8jPz5emvgGAFi1aoEWLFoiPj0dBQYHKRJ0WFhZo3LgxUlNTpREzik9KampqKl0OUHeSz+rVq6N27drS6PxF/316JPqUlBSYmpqqPNlVNBmsNjCXpA72F81gHjWDhbGYZ03s+ejRo2e+51nTxzx58qTMiTrF/y4byJnk8+mns4rPuv0s5R0rUlOYS1IH+4tmMI+awXuMMrz99tvQ1dVFUlKStCwmJgbdunWDlZUV9PT0EB8fL63LyMjAtWvXnjm3WXFNmjRReS8gf5LPsjRq1AhZWVm4fv26tGzr1q3w8/Or0H4rirkkdbC/aAbzqB4WxmKysrKQlpZW4h8A+Pj4YPbs2Thz5gySkpIQGhqKNm3awNjYGH379sWsWbMQGxuLCxcuICAgAHXr1oW7u/tz26zIJJ9ladq0Kdq1a4cpU6YgOTkZJ0+exNKlS+Hm5lah/crFXJI62F80g3nUDF5KLWbu3LnSU1rFDRo0CJMmTcKsWbMwZMgQ6OrqomvXrpgwYQIAYPz48RBCYMyYMVAqlWjXrh3WrFkja5buN998E8uXL0dISAjCwsJQv359TJgwAZ988kmFP09ISAiCgoLQt29fabbzwYMHV3i/cjCXpA72F81gHjWDI98QEREVw0upRERExbAwEhERFcPCSEREVAwLIxERUTEsjM+Qn5+PJUuWoEuXLrCzs4O7uzumTp2K9PR0AICvry8WLFgAoHDEhk2bNmms7djYWFy8eBEAEB4ejvfee09j+64KzCXJxb6iOcxlBVT6oHMvqblz5wpPT09x+PBhcfPmTXHixAnx6aefCm9vb1FQUCAyMjJEVlaWEEKI8PBw4e7urrG2ra2tpTENc3JyRHp6usb2XRWYS5KLfUVzmMvy4xnjM4SHh2PUqFFo37493nrrLbRq1Qrz5s1DYmIi4uPjYWFhARMTEwAodVR4TalevTpq1qxZafvXBuaS5GJf0RzmsvxYGMsQGxurMt5fgwYNEBERAVtbW+kyxLFjxzBp0iTcuXMHNjY2uHnzpsolCqDkHGOpqakYMmQInJycYG9vj88++wyXLl0CUDgLNwAMHDgQixYtKnEZIjU1FYMHD0bLli3h5uaGRYsWoaCgAACwaNEijB07FkFBQXB2dsb777+P5cuXV3qe5GAuSS72Fc1hLsuHhfEZ/Pz8sHHjRrz//vv47rvvEBERgczMTDRt2hTVq1eXtnNycsLkyZNhaWmJw4cPo169emXuVwiBr776CvXr18fOnTuxadMmFBQUICQkBADw22+/AQAWLlyIQYMGqbz33r176NevH+rUqYOtW7di+vTp2LBhA8LCwqRt/vrrL+jq6mLr1q3o06cP5s+fj5SUFE2lpVyYS5KLfUVzmMvyY2F8hhEjRmDBggWwsrJCeHg4vvnmG7i5uWHlypUq2xkYGMDMzAzVqlWDpaVliVHkn5aTk4PevXtjwoQJsLKygkKhgLe3t/SLL7rkYG5uLl3mKLJr1y4YGhoiKCgITZo0QefOnTFmzBiVmMzMzDBx4kS88847GDZsGCwsLHDu3DlNpKTcmEuSi31Fc5jL8uNYqWXw9PSEp6cnMjMzERMTg82bNyM0NBSNGjUq9z6NjY3Rr18/7Ny5E+fOncPly5eRlJQECwuL5743NTUVzZs3V5mOxcnJCRkZGbh37x4A4K233lLp2CYmJsjLyyt3vJrCXJJc7Cuaw1yWD88YS5GcnIyZM2dKr2vUqIEPPvgAYWFhsLOzQ0xMjFr7K36N/9GjR+jduzd+//13vPPOOxg9ejQCAgJk7edZ854V/++LNncgc0lysa9oDnNZMTxjLMWTJ0+wbt069OjRA46OjtJyHR0dmJmZlXjCSkdHR+W1gYGBysSgN27ckH4+fvw4bt++jd9//13qAIcPH5b1VFiTJk0QGRmJvLw86b1xcXGwsLB4YZ/6Yi5JLvYVzWEuK4ZnjKVQKBR4//33MXLkSGzfvh03btzA2bNnsWDBApw/fx69e/dW2d7Y2BgPHz7ElStXkJ+fDzs7O/zxxx9ISEjAuXPnsGjRIqnjWVhYICcnB3/99Rdu3ryJrVu3YsOGDVAqlSr7u3TpEh4+fKjSTo8ePVBQUIDvv/8eqampiI6OxqJFi9C3b19ZM2JXBeaS5GJf0RzmsmJenEheMAsXLsSnn36K5cuXw8vLCwMHDsTFixexYcMGvPnmmyrbtmnTBu+88w4+/PBDJCcnY+DAgWjZsiX69++PsWPHYujQodIv3cnJCSNHjsSMGTPw4YcfYtu2bZg2bRru37+Pf/75BwAwYMAA/PDDD/j5559V2jExMcHKlStx48YN9OrVC0FBQfDz88OYMWO0k5RyYi5JLvYVzWEuy4/zMRIRERXDM0YiIqJiWBiJiIiKYWEkIiIqhoWRiIioGBZGIiKiYlgYiYiIimFhJCIiKoaFkYiIqBgWRiIiomL+D/62oAAhAtFrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,4))\n",
    "x= np.array(figuresdf_3c['countrun'])\n",
    "y =np.array(figuresdf_3c['coeff'])\n",
    "se =np.array(figuresdf_3c['95dif'])\n",
    "colorsmain2=sns.hls_palette(12)[4:11]\n",
    "\n",
    "plt.ylim(0, 0.73)\n",
    "plt.ylabel('Effect in Standard Deviations',fontsize=14)\n",
    "plt.title('Effect of Holding High Beliefs about Mortality\\nand Contagiousness on Economic Worries',fontsize=16,fontweight='bold')\n",
    "plt.text(-1.4, 0.8085, \"C\", fontsize=15, fontweight='bold')\n",
    "plt.text(0.17, 0.665, \"Mortality\", fontsize=15, fontweight='bold')\n",
    "plt.text(3.17, 0.665, \"Contagiousness\", fontsize=15, fontweight='bold')\n",
    "\n",
    "plt.bar(x, y,yerr=se,color=[colorsmain2binary[0],colorsmain2binary[1],colorsmain2binary[0],colorsmain2binary[1]],tick_label=['Worry:\\nAggregate\\nEconomic\\nSituation','Worry:\\nPersonal\\nEconomic\\nSituation','Worry:\\nAggregate\\nEconomic\\nSituation','Worry:\\nPersonal\\nEconomic\\nSituation'])\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.savefig(\"output/figures/fig_3c.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure(figsize=(7,4))\n",
    "x= np.array(figuresdf_3d['countrun'])\n",
    "y =np.array(figuresdf_3d['coeff'])\n",
    "se =np.array(figuresdf_3d['95dif'])\n",
    "\n",
    "plt.ylim(-0.2, 0.42)\n",
    "plt.ylabel('Effect in Standard Deviations',fontsize=14)\n",
    "plt.title('Effect of Information about Coronavirus\\n on Economic Worries',fontsize=16,fontweight='bold')\n",
    "plt.text(-1.35, 0.4862, \"D\", fontsize=16, fontweight='bold')\n",
    "plt.text(0.5, 0.32, \"High Mortality\\nInformation\", fontsize=15, fontweight='bold', horizontalalignment='center')\n",
    "plt.text(3.5, 0.32, \"Contagiousness\\nInformation\", fontsize=15, fontweight='bold', horizontalalignment='center')\n",
    "\n",
    "plt.bar(x, y,yerr=se,color=[colorsmain2binary[0],colorsmain2binary[1],colorsmain2binary[0],colorsmain2binary[1]],tick_label=['Worry:\\nAggregate\\nEconomic\\nSituation','Worry:\\nPersonal\\nEconomic\\nSituation','Worry:\\nAggregate\\nEconomic\\nSituation','Worry:\\nPersonal\\nEconomic\\nSituation'], hatch='X')\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.savefig(\"output/figures/fig_3d.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Figure 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Applications/anaconda3/lib/python3.7/site-packages/pandas/core/indexing.py:189: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  self._setitem_with_indexer(indexer, value)\n"
     ]
    }
   ],
   "source": [
    "figure_4ab_raw = pd.read_stata('data/survey2_clean.dta')\n",
    "\n",
    "day5q50 = figure_4ab_raw.day5.quantile(q=0.5)\n",
    "day5q75 = figure_4ab_raw.day5.quantile(q=0.75)\n",
    "day5q90 = figure_4ab_raw.day5.quantile(q=0.90)\n",
    "day5q95 = figure_4ab_raw.day5.quantile(q=0.95)\n",
    "\n",
    "day10q50 = figure_4ab_raw.day10.quantile(q=0.5)\n",
    "day10q75 = figure_4ab_raw.day10.quantile(q=0.75)\n",
    "day10q90 = figure_4ab_raw.day10.quantile(q=0.90)\n",
    "day10q95 = figure_4ab_raw.day10.quantile(q=0.95)\n",
    "\n",
    "day20q50 =figure_4ab_raw.day20.quantile(q=0.5)\n",
    "day20q75 =figure_4ab_raw.day20.quantile(q=0.75)\n",
    "day20q90 =figure_4ab_raw.day20.quantile(q=0.90)\n",
    "day20q95 =figure_4ab_raw.day20.quantile(q=0.95)\n",
    "\n",
    "figure_4ab_rawnp=np.array([[1, 1, np.nan, np.nan, np.nan, np.nan, 1], [2, 3, np.nan, np.nan, np.nan, np.nan, 3], \\\n",
    "[3, 7, np.nan, np.nan, np.nan, np.nan, 5], [4, 15, np.nan, np.nan, np.nan, np.nan, 7], \\\n",
    "[5, 31, day5q50, day5q75, day5q90, day5q95, 9], [6, 63, np.nan, np.nan, np.nan, np.nan, 11], \\\n",
    "[7, 127, np.nan, np.nan, np.nan, np.nan, 13], [8, 255, np.nan, np.nan, np.nan, np.nan,  15], \\\n",
    "[9, 511, np.nan, np.nan, np.nan, np.nan, 17], [10, 1023, day10q50, day10q75, day10q90, day10q95, 19], \\\n",
    "[11, 2047, np.nan, np.nan, np.nan, np.nan, 21], [12, 4095, np.nan, np.nan, np.nan, np.nan, 23], \\\n",
    "[13, 8191, np.nan, np.nan, np.nan, np.nan, 25], [14, 16383, np.nan, np.nan, np.nan, np.nan, 27], \\\n",
    "[15, 32767, np.nan, np.nan, np.nan, np.nan, 29], [16, 65535, np.nan, np.nan, np.nan, np.nan, 31], \\\n",
    "[17, 131071, np.nan, np.nan, np.nan, np.nan, 33], [18, 262143, np.nan, np.nan, np.nan, np.nan, 35],\\\n",
    "[19, 524287, np.nan, np.nan, np.nan, np.nan, 37], [20, 1048575, day20q50, day20q75, day20q90, day20q95, 39]])\n",
    "\n",
    "figure_4ab_rawnp =pd.DataFrame(figure_4ab_rawnp)\n",
    "figure_4ab_rawnp.columns=['day','runner','est50','est75','est90','est95', 'linearpred']\n",
    "\n",
    "\n",
    "figure_4c = pd.read_csv('output/tables/tables_raw/exponentialgrowth.csv', delimiter = ',')\n",
    "figure_4c['runner'] = figure_4c.index\n",
    "figure_4c.runner.iloc[0]= 1\n",
    "figure_4c.runner.iloc[1]= 2\n",
    "figure_4c.runner.iloc[2]= 3\n",
    "figure_4c.runner.iloc[3]= 5\n",
    "figure_4c.runner.iloc[4]= 6\n",
    "figure_4c.runner.iloc[5]= 7\n",
    "figure_4c.runner.iloc[6]= 9\n",
    "figure_4c.runner.iloc[7]= 10\n",
    "figure_4c.runner.iloc[8]= 11\n",
    "figure_4c.runner.iloc[9]= 13\n",
    "figure_4c.runner.iloc[10]= 14\n",
    "figure_4c.runner.iloc[11]= 15\n",
    "\n",
    "figure_4c['95dif']= (figure_4c['uci']-figure_4c['lci'])/2\n",
    "figure_4c_1 = figure_4c.loc[[0,3,6,9]]\n",
    "figure_4c_2 = figure_4c.loc[[1,4,7,10]]\n",
    "figure_4c_3 = figure_4c.loc[[2,5,8,11]]\n",
    "\n",
    "x1= np.array(figure_4c_1['runner'])\n",
    "y1 =np.array(figure_4c_1['coeff'])\n",
    "se1 =np.array(figure_4c_1['95dif'])\n",
    "\n",
    "x2= np.array(figure_4c_2['runner'])\n",
    "y2 =np.array(figure_4c_2['coeff'])\n",
    "se2 =np.array(figure_4c_2['95dif'])\n",
    "\n",
    "x3= np.array(figure_4c_3['runner'])\n",
    "y3 =np.array(figure_4c_3['coeff'])\n",
    "se3 =np.array(figure_4c_3['95dif'])\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 381.6x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5.3,4))\n",
    "\n",
    "figure_4a = sns.lineplot(x='day',y='runner',data=figure_4ab_rawnp, zorder=1, color = colorsmain4[3], label ='Correct Prediction')\n",
    "figure_4a =sns.scatterplot(x='day',y='est50',s=50,data=figure_4ab_rawnp, zorder=2, color = colorsmain4[1], label='Estimate Median')\n",
    "figure_4a.text(-1.25, 1225000, \"A\", fontsize=16, fontweight='bold')\n",
    "figure_4a.legend(fontsize=12, loc='upper left')\n",
    "figure_4a.set_yticklabels(['','0','200,000', '400,000', '600,000', '800,000', '1,000,000'], fontsize=14)\n",
    "\n",
    "figure_4a.set_xticks([5,10,20])\n",
    "figure_4a.set_xticklabels(['5','10','20'], fontsize=14)\n",
    "figure_4a.set_title('Infected from Fictitious Disease\\n(Linear Scale)', fontsize=16, fontweight='bold')\n",
    "figure_4a.set_xlabel('Day', fontsize=14)\n",
    "figure_4a.set_ylabel('Infected per Day\\n(Linear Scale)', fontsize=14)\n",
    "plt.savefig(\"output/figures/fig_4a.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 381.6x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5.3,4))\n",
    "\n",
    "ax.set( yscale=\"log\")\n",
    "colorsmain2=sns.hls_palette(12)[4:11]\n",
    "\n",
    "\n",
    "figure_4b = sns.lineplot(x='day',y='runner', data=figure_4ab_rawnp, zorder=1, ax=ax, color = colorsmain4[3], alpha= 1, label='Correct Prediction')\n",
    "figure_4b = sns.lineplot(x='day',y='linearpred', linestyle='dashed', data=figure_4ab_rawnp, zorder=1, ax=ax, color = colorsmain4[1], alpha= 1, label='Incorrect Linear Model')\n",
    "figure_4b.lines[1].set_linestyle(\"--\")\n",
    "\n",
    "figure_4b =sns.scatterplot(x='day',y='est50',s=50, data=figure_4ab_rawnp, zorder=2, ax=ax, color = colorsmain4[1], alpha= 1, label='Estimate Median ')\n",
    "figure_4b =sns.scatterplot(x='day',y='est75',s=40,data=figure_4ab_rawnp, zorder=3, marker='s', ax=ax, color = colorsmain4[2], alpha= 1, label='Estimate 75th Percentile')\n",
    "figure_4b =sns.scatterplot(x='day',y='est90',s=65,data=figure_4ab_rawnp, zorder=4, marker='v', ax=ax, color = colorsmain4[3], alpha= 1, label='Estimate 90th Percentile')\n",
    "\n",
    "figure_4b.legend(fontsize=12, loc='upper left')\n",
    "\n",
    "figure_4b.set_xticks([5,10,20])\n",
    "figure_4b.set_yticklabels(['','','1', '10', '100', '1000', '10,000', '100,000', '1,000,000'], fontsize=14)\n",
    "figure_4b.set_xticklabels(['5','10','20'], fontsize=14)\n",
    "figure_4b.text(-1.25, 10400000, \"B\", fontsize=16, fontweight='bold')\n",
    "\n",
    "figure_4b.set_title('Infected from Fictitious Disease\\n(Logarithmic Scale)', fontsize=16, fontweight='bold')\n",
    "figure_4b.set_xlabel('Day', fontsize=14)\n",
    "figure_4b.set_ylabel('Infected per Day\\n(Logarithmic Scale)', fontsize=14)\n",
    "plt.savefig(\"output/figures/fig_4b.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 763.2x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure(figsize=(10.6,4))\n",
    "\n",
    "plt.ylabel('Standard Deviations Change due to\\nStandardized log-Point Increase in Prediction',fontsize=14)\n",
    "plt.title('Association of Predicted Spread of Fictitious Disease with\\nBeliefs about Severity of Coronavirus Impact and Economic Worries',fontsize=16,fontweight='bold')\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "plt.bar(x1, y1,yerr=se1, color=colorsmain4[1])\n",
    "plt.bar(x2, y2,yerr=se2, color=colorsmain4[2])\n",
    "plt.bar(x3, y3,yerr=se3, color=colorsmain4[3])\n",
    "\n",
    "plt.xticks([2,6,10,14], ['Beliefs about\\nSeverity for World','Beliefs about\\nSeverity for US','Worry: Aggregate\\nEconomic Situation','Worry: Personal\\nEconomic Situation'])\n",
    "\n",
    "\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "\n",
    "plt.legend(['Day 5','Day 10','Day 20'],fontsize=14)\n",
    "plt.text(-0.65, 0.219, \"C\", fontsize=16, fontweight='bold')\n",
    "\n",
    "plt.savefig(\"output/figures/fig_4c.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Figure A.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Applications/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:6: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n",
      "  \n"
     ]
    }
   ],
   "source": [
    "figure_a1time = pd.read_csv('data/timeseries/timeseries1.csv', delimiter = ',')\n",
    "figure_a1time['dayrunner'] = figure_a1time.index\n",
    "\n",
    "figure_a1timecases = pd.read_csv('data/timeseries/timeseries_cases.csv', delimiter = ',')\n",
    "figure_a1timecasesworld= figure_a1timecases.loc[0:59]\n",
    "figure_a1timecasesworld['dayrunner'] = figure_a1timecasesworld.index\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HN37fwRdffMHkyZOpXbs2KpUKAwMD6taty/z585XRn9z07duXOnXqoK+vj4WFBampqUpZ48aNAShSpIjy7gYhhChsdNS5rX4TQgghxL+SkpJC165duXTpEp999hmBgYHaDkkIIf4RGWEQQggh3rI2bdrQpEkTLl26hK6uLr169dJ2SEKIAiQtLY127dop74GBrI0mfHx8cHBwwMXFJcfGHhcuXMDDwwNbW1s6d+7M6dOn8y1eSRiEEEKIt8zCwoKMjAwqV65McHAwderU0XZIQogC4tmzZwwfPlzZMCObn58fSUlJrFy5kkGDBjF27FhOnDgBZI1Yenp6YmtrS2RkJI6OjgwcOPAfv/PmTcmiZyGEEOItCwsL03YIQogC6PLly3zzzTc53odz48YN9uzZw44dO6hUqRJWVlbExMSwYsUKHBwc2Lp1KwYGBvj5+aGrq8vIkSOJiopi27ZtdOnS5Z3HLSMMQgghhBBC5INjx47RpEkTIiIiNI6fOnUKCwsLKlWqpBxzdHTk5MmTSrmDg4Py3hsdHR0cHByIiYnJl7hlhEEIIYQQQoh80K1bt1yPJyYmUrp0aY1jpUqVUt4rlJiYSJUqVXKUX7hw4d0E+oL/fMJw/Pjxt/oW0telUqleq9/Xrfcu2pS+C27fhSFG6Vv6Lmj1pG/pW/ouGPUKS99v29OnT5k6dary2cPDAw8Pj9c6NzU1NccLQ7NfoKlWq/Msz36/zjun/o87ceKEVvo9d+7cW633LtqUvgtu34UhRulb+i5o9aRv6Vv6Lhj1Ckvfb9ubPnNWr15dffDgQbVarVYvWLBA3alTJ43yvXv3qm1sbNRqtVrdv39/9ZQpUzTKg4KC1J6env8i4tcnaxiEEEIIIYTQojJlyuR4oea9e/ewsLBQyhMTE/Msf9ckYRBCCCGEEEKL7OzsuHPnDjdv3lSOHT9+HFtbWwBsbW2JiYlRdldSq9XExMRgZ2eXL/FJwiCEEEIIIYQWVaxYEScnJ3x9fblw4QLr1q1j06ZN9OzZE8h6GWRKSgoTJ07k8uXLTJ48meTkZFxdXfMlPkkYhBBCCCGE0LKgoCCKFStG165dmTNnDgEBAdjb2wNgampKaGgoMTExdOrUiRMnTjB//nxMTU3zJbb//C5JQgghhBBCFDSxsbEan0uVKsW8efPyrG9jY8P69evfdVi5eq8TBpVKxc2bN3ny5Mlbbzs9PZ3z58+/tXrvok3pu+D2XRhifNd9GxgYULp0aYoXL/5asQghhBDi3XivE4Z79+6ho6ODlZXVW9+vNzU1FRMTk7dW7120KX0X3L4LQ4zvsm/1X3tOJyQkAEjSIIQQQmjRe72GISkpiTJlymjl5R5CiLzp6OhQpEgRypcvz927d7UdjhBCCPFee6+flDMzMzEwMNB2GEKIPJiYmJCenq7tMIQQQoj32nudMEDWN5lCiIJJfj+FEEII7XvvEwYhhBBCCCFE3t7rRc+FkYuLi7IQFLK+gS1evDiOjo6MHTuWcuXKaTG63IWEhHDo0CFWrlyp7VCEEEIIIcQbkoShEPLz86Ndu3ZA1tawly9fZty4cfj6+rJs2TItR5dTv3796NWrl7bDEEIIIYQQ/4BWpiSlpaXRrl07Dh06pBxLSkrCx8cHBwcHXFxccryY4sKFC3h4eGBra0vnzp05ffp0foddYJiammJhYYGFhQVlypShSZMm+Pj4cOTIER4/fqzt8HIoWrQo5ubm2g5DCCGEEEL8A/meMDx79ozhw4dz6dIljeN+fn4kJSWxcuVKBg0axNixYzlx4gQAKSkpeHp6YmtrS2RkJI6OjgwcOJDk5OT8Dr/AMjQ0BEBXV5fHjx/j6+uLo6MjTZo0YcyYMRr36ty5c/Ts2ZOGDRvSsmVL1q5dq5RdunSJ3r17Y2NjQ6tWrVi8eDFqtRqA5ORkhg4dSv369XFwcMDLy4vExESNMmdn5xxlISEhfP7550ofMTEx9OnTBzs7O1xcXAgPD1fK/Pz8CAgIYPjw4djZ2dG6dWs2bNjw7m6cEEIIIYR4qXxNGC5fvkzXrl25ceOGxvEbN26wZ88eJk6ciJWVFe7u7nTo0IEVK1YAsHXrVgwMDPDz86Nq1aqMHDmSYsWKsW3btvwMv8C6du0as2bNomnTphQtWpTx48fz4MEDwsPDCQ0N5erVq/j7+wPw559/0qdPHz766CNWrVrFsGHDGD9+PMeOHePp06d4enpiZ2fHxo0bGT16NEuXLmX58uUAzJgxg4SEBMLCwli9ejX3799n8uTJGmWLFi3KUfa8uLg4vvjiCxwcHFi/fj3e3t5MnTpV4+9y1apV1KxZk8jISJycnJg0aRJJSUn5cCeFEEIIIcSL8nUNw7Fjx2jSpAne3t7Y2dkpx0+dOoWFhQWVKlVSjjk6OjJ37lyl3MHBQXnBmo6ODg4ODsTExNClS5e3Ft+jg/t4tG/PW2lLpVK91gvhTBo2waTFJ2/U9oQJE5g0aRIAGRkZGBgY0LJlS0aOHMmNGzfYvXs30dHRyjSgwMBAXFxc+OOPP9i9ezdFixZl3LhxpKWlUbNmTZKSklCpVGzatAkzMzOGDx8OQOXKlRk6dChz5szB3d2dhIQEihQpQoUKFShatChBQUE8evQIQCkrX748pUqV0ih73urVq7GyssLHxwcTExOqVKlCXFwcCxcupG3btgBUr16d/v37AzBs2DCWL1/OpUuXqFev3hvdJyGEEEL8R6hV2o7gvZavCUO3bt1yPZ6YmEjp0qU1jpUqVYrbt28r5VWqVMlRfuHChXcTaAHn5eVFmzZtSElJYfbs2dy6dYthw4ZRokQJTp48iVqtpkWLFjnOu3btGpcvX6ZGjRro6ekpx3v27AnAnj17uHz5Mvb29kqZSqUiLS2N9PR0BgwYwIABA2jUqBENGjSgVatWfPbZZwBKWYsWLXKUPS8uLg5bW1uNY/b29hrTkipWrKj8bGpqCmQlRkIIIYR4/6QmXkT/+CQyKs9Gv0gJbYfzXioQuySlpqYqc/CzGRoakp6ejlqtzrM8LS0t1/YiIiKIiIgAsubEnz9/Ptd66enppKamKp8NHOpRyuHtfIutVqtf66VT2df3um2qVCpMTU2VBGvy5Mn06NGDr7/+mrCwMFJSUjAxMWHVqlU5zrewsGDnzp2oVCpSU1Nz9P306VPq1q3LqFGjcpyrq6tLjRo12Lp1K1FRURw4cIApU6awYcMGFi5c+NKy9PR0pU99fX0yMjI0+n769CmZmZmkpqaSkZGBrq5ujnvy9OnTV96n172Xb3rP32ab/6UY86vv9PT0XH+Hnz59mufv9rusJ33nf9+FIUbpW/p+H/rWVow6iTHoqzO5fPY4atPybzVO8XoKRMJgZGSU4+E/LS0NY2NjdHR0XlqeGw8PDzw8PICsBbY1a9bMtd758+cxMTF5C1eQU2pq6mu1/br1suvq6upiaGionGNiYsIPP/yAh4cHq1atomXLlqSmpmJgYMBHH30EwPXr15k8eTITJkygatWq7N27FyMjI549e4aJiQn+/v6ULVuWjz/+mD179lC1alX09bP+aWzfvp0DBw4watQoIiIi+Pjjj3F3d8fd3Z1jx47Ro0cPnjx5wubNm/n4449xc3PLUWZgYICuri4mJiZUr16dw4cPo6Ojo1zD2bNnqVKlCiYmJkq/L94TIyOjV96nd3XP32ab/6UY86tvAwODXH+Hz58/n+fv9rusJ33nf9+FIUbpW/p+H/rWVoxJXOPeNfiwQlmKlHu7cb5NMTEx+d5nfikQb3ouU6YM9+7d0zh27949LCwslPLsHXdyK3/f2djY4O7uzk8//YSpqSlNmjRhxIgRnDp1igsXLuDr68v9+/cpXbo0HTp04MmTJ0yaNInr16+zefNmNm/eTNOmTenQoQNpaWmMHj2auLg4Dh48yIQJEzAzMwPg9u3bTJw4kRMnThAfH8+mTZuwtLSkRIkSStnJkydzlD2ve/fuXLx4kVmzZnH16lV++eUXVqxYoUyLEkIIIYR4nio9a+RZnfFUy5G8vwpEwmBnZ8edO3e4efOmcuz48ePKXHdbW1tiYmKU7T3VajUxMTEaC6ffd8OGDcPAwIDAwEACAgKoVKkS/fr1o2fPnpQuXVpZQF6sWDHmz5/P6dOn6dKlCyEhIUyaNAkHBwdMTU1ZuHAhCQkJdOrUCV9fXzp16sSwYcMAGDJkCHXr1mXw4MG4ublx5coV5s2bh56enlI2bNiwHGXPK1u2LKGhoRw+fJj27dszd+5cfH193+ridSGEEEL8d2QnDKqMZ1qO5P1VIKYkVaxYEScnJ3x9fRkzZgxnz55l06ZNyluL27Rpw7Rp05g4cSLdu3dn9erVJCcn4+rqquXI89/u3btzPV6yZEmOHj0KZE3rmDZtWp5t2Nrasnr16lynf9SqVYuwsLAc56Snp2NiYkJAQAABAQE5yrPLRo0alaNNb29vvL29lc8NGzZk5cqVuU5RmTJlSo5jJ0+efGdTx4QQQghRsCkJQ7qMMGhLgRhhAAgKCqJYsWJ07dqVOXPmEBAQoOzWY2pqSmhoKDExMXTq1IkTJ04wf/58ZQcdIYQQQgjx3yRTkrRPayMMsbGxGp9LlSrFvHnz8qxvY2PD+vXr33VYQgghhBCiAMkeWVBJwqA1BWaEQQghhBBCiBep0lP++lMSBm2RhEEIIYQQQhRY6r8SBbUsetYaSRiEEEIIIUSB9fcuSTLCoC2SMAghhBBCiAJLdknSPkkYhBBCCCFEgfX3LkkyJUlbJGEQQgghhBAFklqViTozDZARBm2ShEEIIYQQQhRI2aMLIG961iZJGAqZjIwM5s6dS6tWrahTpw5NmzZlzJgx3L9/X6mTkpJCZGTkv+7r5s2bWFlZcf369deu26BBA1JTU3OUBwcHY2VlxZo1a/5RLEeOHMHKyoqMjIw3PletVrNy5UpUKtVL623cuBEPDw/s7e1xcnJi+PDhxMfH/6N4X+XfXI8QQgjxvnh+VEFe3KY9kjAUMtOmTWPLli2MHz+e//u//2P69OlcvHiR/v37o1arAVi2bNk/fjD/tzIzMzl48GCO47t27UJHR0cLEcFvv/3G+PHjX5owBAYG8sMPP9CpUyfWr1/PTz/9REpKCv369eOPP/7Ix2iFEEIIkU1Zv6BnLLskaZEkDIVMZGQk3t7eNGnShPLly1O3bl2Cg4M5e/Ysp06dAlASB21wdHRk9+7dGseuXLnCkydPKFeunFZietX9OHbsGEuWLGH27Nl069aNypUrY21tzaxZsyhSpMhL30AuhBBCiHdHlfHXrAUDU1nDoEWSMBRC0dHRZGZmKp8rVqzIli1bqFGjBpGRkYSGhnLixAmsrKwAePbsGcHBwTRr1gw7Ozu++uorEhISlPPj4+MZOHAg9vb2ODs75/mAHBERgb29PSdPnswztubNmxMVFaXxkL5r1y4++eQTjRGG9PR0AgMDcXZ2pnbt2rRo0YIVK1Yo5S4uLgQFBeHk5ETnzp01rheyRlqaNGmiTJe6dOkS/fv3x8bGhlatWrF48WLUajU3b96kd+/eANSuXZsjR47kiPmXX37BxsaGevXqaRw3NDRk6tSpfPXVVwD4+fnh6+vLZ599RoMGDYiNjSUuLg5PT08aN26MtbU1n3/+OZcuXVLamDlzJk2bNsXa2hoPDw8lqcu2evVqnJ2dsbOzY8SIETx7JvMzhRBCiGyqtL9GGAyKoc54ptUvRd9nkjAUMr1792blypW0aNGC0aNHs2XLFh49ekS1atUwNjbG1dWV3r17Y2Njw4EDBwAYN24cO3bsIDAwkIiICDIyMvj666/JzMwkLS2NL7/8En19fSIiIvjhhx9YuHAhGzdu1Oh37969TJ48mTlz5mBnZ5dnfPXq1SMlJUXjwfjXX3/lk08+0aj3888/s3v3bmbNmsX27dvp1KkTAQEB3LlzR6mzceNGFi5cyKRJk9DT01OOh4eHs2rVKhYtWkSlSpV4+vQpnp6eWFtbs3HjRkaPHs3SpUtZvnw55cqVIyQkBIB9+/Zhb2+fI+YLFy5gbW2d6/VUr15dY2Rk48aNDB48mAULFlCtWjUGDRqEpaUlERERrFq1CpVKRVBQEADBqKoKAAAgAElEQVQ7d+4kPDyc4OBgtm7dSq1atfj22281pkZt27aNBQsWMHfuXHbu3Km1qWRCCCFEQaTOXvRsWAxQKzsmifylr+0ACpJHcft4dHnPW2lLpVKhq/vqfMzkwyaY1PzklfWyDR48mCpVqrBixQoiIyNZs2YNRkZG+Pj44OnpibGxMSYmJujr62NhYcHDhw/ZsGED8+bNo2HDhkDWAuTmzZtz8OBBjIyMuHv3LuvWraNYsWJUr16dsWPHUqRIEaXPmJgYvv/+ewIDA2ncuPFL4zM0NKRp06bs2bMHOzs7EhMTuXbtGvXr19eoV7VqVX744Qcl+fjqq6+YM2cOV69epUyZMgC0b9+eGjVqkJqayunTpwHYsWMH06ZNY+HChdSoUQOATZs2YWZmho+PDyYmJlSuXJmhQ4cyZ84cevXqhZmZGQClSpVCX18/x6Lsx48fY2pq+lr3v2bNmrRq1QrIWlzu7u5O9+7d0dXVxcTEhE6dOhEaGgpAQkIC+vr6WFpaUrFiRb755huaNWumkTCMGzeOatWqAdC4cWMuXLjwWnEIIYQQ7wNlDYOB6V+fn6Krb6TNkN5LkjAUQq6urri6uvLo0SMOHTpEREQEU6dOpXLlyjm+yb927RoqlQpbW1vlmLm5OVWqVOHq1avo6+vz4YcfUqxYMaW8Q4cOQNbORwBjxowhMzMTS0vL14qvZcuWLFy4kGHDhvHrr7/i7OyMgYGBRh0XFxdOnDjBlClTuHLlCufOnQPQeJguX758jrb9/PzQ09PT+Nb/ypUrXL58mUaNGinTnlQqFWlpaaSlvfqbiBIlSvDo0aPXurYKFSooPxcpUoTu3buzYcMGTp06xfXr1zl37hzm5uZAVsITGRlJq1atsLa2xsXFhXbt2qGv//ev3Ycffqj8XKxYMZmSJIQQQjxH2Vb1r4Qha6ckM+0F9J6ShOE5xas6U7yq81tpKzU1FRMTk9eq97ouXrzIpk2bGD16NADFixenTZs2tG7dGnd3dw4dOpQjYTAyyj0Lz8zMRKVS5XiQz423tzcXLlzg+++/Z/Xq1a8cOWnevDkjR44kPj6eX3/9lS5duuSoM3v2bNatW8f//vc/OnbsyLhx43BxcXll7FOmTCE8PJzJkycza9YsIGur2fr16+Pv74+xsbFG/ecfzvNSp04dYmJici2LjIzk8uXLjBs3DsgaQcn25MkT3N3dMTMzo1mzZnTs2JErV64wf/58IGtEIzIyksOHDxMVFUVERATh4eGsW7dOaePFeylzM4UQQoi/ZS96VhsU++uzLHzWBlnDUIhkZmYSFhaWY9Gxjo4OxYoVo2TJksrnbB9++CH6+voaawoePHjA9evXqVSpEpUrVyY+Pp7k5GSlfNasWfj5+SmfW7duzZAhQ4iLi2P16tWvjNPMzAxHR0e2bNnCyZMncXJyylFn7dq1jB49mu+++w43NzclcXrVA/Onn37K6NGj2blzJ/v37wegSpUqXLt2DUtLSypVqkSlSpU4f/48CxYsQFdX95XbuXbo0IGzZ89y9OhRjeNPnz5l2bJlpKen53re0aNHuX37NmFhYfTp04fGjRtz69Yt5Rr27t1LREQETZs2ZfTo0Wzfvp0nT55w/Pjxl8YjhBBCiCyqtFR09AxAP+sLQXl5m3ZIwlCI1KxZkxYtWuDl5cX69euJj4/nzJkzTJ8+nfPnz+Pu7g5kTZVJTEwkPj6eIkWK0K1bN3744Qeio6OJjY1lxIgRlClThiZNmuDk5ETZsmUZPXo0cXFxREVFERYWhrOz5khL6dKl+frrr5k+fTp//vnnK2Nt2bIl8+fPp169ehrrIbKZmZmxZ88e4uPjOX78OCNGjAB4rSlENWvWpEuXLkycOJG0tDQ6dOhAWloa33//PXFxcRw8eJAJEyYoaxey+z937lyuU35sbGzo3r07Xl5erFmzhhs3bnDs2DEGDBhASkoK3t7eucZhbm5OamoqO3fuJCEhgTVr1hAeHq5cQ/YC6O3bt3Pz5k02bdpEWlqasvZCCCGEEC+nyniKrkER0M0a4VfL1qpaIQlDITNjxgy6du1KaGgobm5u9O3bl4sXLxIeHk7ZsmWBrId1XV1d2rVrx/379/nuu+9wcnJiyJAhdOvWDUNDQ5YuXYqRkRF6enrMnTuXhw8f0qlTJ8aPH8/gwYNxdXXN0XefPn0wMzNj6tSpr4yzZcuWPHnyJMcUqWzjx4/n4sWLuLm54evrS5s2bbCzs1PWMrzK0KFDSUpKYv78+ZiamrJw4UJu3bpFp06d8PX1pVOnTgwbNgzI2unIycmJ7t27s2/fvlzbGzNmDD4+PoSFhdGxY0eGDh1K6dKl+fnnn5VF2C+yt7fHy8uLiRMn0rVrV9atW8e4ceNISkri1q1buLi4MHToUIKCgmjTpg1Llixh8uTJfPTRR691jUIIIcT7TpWWgq6BMWq9rIRBpiRph6xhKGSMjY3x8fHBx8cnzzrly5dnx44dGsfGjh3L2LFjNY5lTwOqUqUKS5YsydFOhQoViI2NVeoaGhrmaPfFutltPn9utudf6GZvb8+mTZs0ygcMGJBrXUB570G2kiVLakwhqlWrFosWLcp13YihoSGLFi3Kcd3P09HRoWfPnvTs2VPj+PN1p0yZkuM8Ly8vvLy8NNasdO7cWSnv27cvffv2zdHei9eTV/tCCCHE+yxrhMFEGWGQl7dph4wwCCGEEEKIAkmVnoqOgQn8NcKgljUMWiEJgxBCCCGEKJDU6amaIwwyJUkrJGEQQgghhBAFkio9FV19Y9A1+OuzJAzaIAmDEEIIIYQokFTpT9E1LAI6OujoG/314jaR3yRhEEIIIYQQBZIqPSVrhAHQ1TeW9zBoiSQMQgghhBCiwFGrMlBnpqNrmLULoYwwaI8kDEIIIYQQosDJXq+ga2Dy15/GqNJlhEEbJGEQQgghhBAFjio9BQBd/b8SBn0j2SVJSyRhEEIIIYQQBY4ywqBMSTKWXZK0RBKGQurRo0cEBgbSsmVLbG1tad26NfPnzyc9PV2rcX355ZdMnz5dqzEIIYQQovBTpacCoKP/95QkeXGbduhrOwDx5pKSkvDw8KBUqVIEBARQoUIFzp07R0BAABcvXmTixIlai+3HH3+kWLFiWutfCCGEEP8N2QlD1ghD5l+7JMkIgzZIwlAIBQcHY2BgwJIlSzAyMgKgYsWKlChRgl69etG1a1fq16+vldjMzMwwMTHRSt9CCCGE+O9QEgZ9EyBZdknSIpmSVMikpaWxZcsWevTooSQL2erXr8/SpUupVq0aDx8+ZMyYMTRu3BgHBwe++eYbkpKSADhy5AjOzs6sXbsWZ2dnGjRowHfffcfTp1m/hMnJyQwdOpT69evj4OCAl5cX9+7dAyAkJAQfHx9GjhypTIXatWuXEsPzU5L8/Pzw9fXls88+o0GDBsTGxhIXF4enpyeNGzfG2tqazz//nEuXLinnnzt3jp49e2Jra0vLli1Zu3at0u748eM1rnfYsGEEBAS83RsshBBCiAJBnZ0wZO+SJGsYtEYShkLmxo0bpKSkYG1tnWt5w4YNMTExwcvLi/PnzzNv3jx+/vlnrl69yogRI5R69+/fZ8eOHcyfP58ffviBHTt2EBkZCcCMGTNISEggLCyM1atXc//+fYKDg5Vzd+/eTWZmJpGRkbi7u+Pj40NsbGyu8WzcuJHBgwezYMECqlWrxqBBg7C0tCQiIoJVq1ahUqkICgoC4M8//6RPnz589NFHrF+/nmHDhjF+/HhiYmJo3749O3fuJDMzE4DU1FT27t2Lm5vbW7mvQgghhChYlBEGA2PlT3VmGmqVSpthvZdkStJzHjzax4NHe95KWyqVCl3dV+djpiZNMDH55LXbffToEcBL1wlcvHiRo0ePsnXrVqpWrQpkTWNq27at8m1+RkYG3333HTVq1KBGjRo0bdqUM2fOAJCQkECRIkWoUKECRYsWJSgoiMTERKX94sWLM3HiRAwNDalatSpRUVGsXbuWUaNG5YilZs2atGrVCoCUlBTc3d3p3r07urq6mJiY0KlTJ0JDQwHYtm0bRYsWZdy4cejp6fHRRx+RlJREZmYmn3zyCePGjeO3336jYcOG7N27lxIlSmBnZ/fa904IIYQQhceL72HQ+euNz+rMZ+joyvTn/CQJQyFTokQJAB4+fJhnnatXr1K0aFElWQD46KOPMDMzIy4uTmmjQoUKSrmpqSkZGRkADBgwgAEDBtCoUSMaNGhAq1ataN26tVK3Vq1aGBoaKp/r1KmjMa3oec/3UaRIEbp3786GDRs4deoU169f59y5c5ibmwNw+fJlatSogZ6ennJOz549SU1NxcTEhObNm7Nt2zYaNmzItm3bcHNzQ0dH59U3TQghhBCFjio9BR09Q3R0s54LskcaVOlPlSRC5A9JGJ5TorgzJYo7v5W2sh9yX6fem/jwww8xNzfnzJkz2NjY5CgfOnQojRo1yvXczMxMVM8N4xkYGGiUq9VqAOzt7dmzZw+7d+8mKiqKKVOmsGHDBsLDwwHQ19f8Z5OZmZnng/vzicWTJ09wd3fHzMyMZs2a0bFjR65cucL8+fNzjedF7du3Z+zYsXz33XdERUURERHx0vpCCCGEKLxeTAx09bPWbspOSflP1jAUMnp6eri5ubF8+XLS0tI0yqKjo9m2bRuWlpY8efKEuLg4pezy5cskJydTpUqVV/bx888/c+rUKTp06MC0adOYP38+x44dUxY+X7x4USPx+P3337Gysnplu0ePHuX27duEhYXRp08fGjduzK1bt5REpVKlSsTGxmq07e/vz9y5cwFwdnYmPT2dBQsWUL58eWrUqPHKPoUQQghROKnSUzUSBmVKkix8zneSMBRCXl5ePHv2jL59+xIdHc2NGzdYv349Q4cOpXPnztStW5cWLVrg6+vL6dOnOX36NL6+vjg6OlKzZs1Xtn/79m0mTpzIiRMniI+PZ9OmTZQrV06ZypSQkMCUKVO4cuUK8+bN4/fff6dLly6vbNfc3JzU1FR27txJQkICa9asITw8XEl8OnTowJMnT5g0aRJXr15l8+bNbN68mcaNGwNZoxWtWrViyZIltGvX7l/cQSGEEEIUdC8mDLp/JQwqeXlbvpMpSYVQyZIlWblyJXPmzMHX15cHDx5QoUIFBgwYQK9evcjIyGDKlClMnDiRPn36oKenR8uWLfH393+t9ocMGUJycjKDBw/myZMn2NraMmvWLGVtQZ06dXj8+DGdOnWiUqVKzJ8/n8qVK7+yXXt7e7y8vJg4cSLPnj2jevXqjBs3Dn9/f27duoWlpaWya1NERASWlpZMmjRJY2Gzm5sb69atk92RhBBCiP+4HAlD9hoGmZKU7yRhKKTKlCnDhAkTci3LyMjA3NycadOm5Vqe/U6E59dPTJkyRfnZxMSEgIAAjXccPF/X0NCQyZMnM3ny5BxtL1q0SFm78Xyb2by8vPDy8tJY49G5c2el3NbWltWrV2uc83zfiYmJ2NjYUKlSpVyvTQghhBD/Dar0VPSLfqB81vlrDYO8vC3/ScIgCoX4+HjOnDnDnDlzGDBggLbDEUIIIcQ7lueUJFnDkO9kDYMoFG7evMnIkSOpWbOmxoiEEEIIIf6bshIGY+WzTEnSHhlhEG/E29sbb2/vfO+3UaNGnDx5Mt/7FUIIIYR2qF/YVlXZJUkWPec7GWEQQgghhBAFijozA7UqXTNh0DMAHR2ZkqQFkjAIIYQQQogCRZWeteGJRsKgo4OOvrFMSdICSRiEEEIIIUSBklvCAFkLn9XpMiUpv0nCIIQQQgghChRVRl4Jg5GMMGiBJAxCCCGEEKJAUaVlJwzGGsd1DYzlTc9aIAmDEEIIIYQoUP4eYSiicVxH30he3KYFkjAUQhkZGcydO5dWrVpRp04dmjZtypgxY7h///5b7ysyMhJnZ+d/3U5ISAiff/650uann376r9sUQgghxH9T9giDzosjDPrGskuSFsh7GAqhadOmsW/fPsaPH0/lypX5448/mDp1Kv3792fdunVvtS9XV1eaN2/+1tts0KDBW21TCCGEEP8deS161jEwRvXknjZCeq/JCEMhFBkZibe3N02aNKF8+fLUrVuX4OBgzp49y6lTp95qX8bGxpQsWbLAtymEEEKI/47shc0vTknS1TeWF7dpgSQMhVR0dDSZmZnK54oVK7JlyxZq1KjBl19+yfTp05WymzdvYmVlxfXr1wGwsrJixowZtGjRgt69e9O0aVPWrFmj0b6rqyvh4eEaU5K6du2q0S6Ap6cngYGBAOzZs4du3bphbW2No6MjQ4cOJTk5OUfsL05JmjlzJk2bNsXa2hoPDw9iYmIAOHLkCM7Ozvzyyy80adKEevXqsXjxYo4cOUKbNm2wt7fH398flUr1b26lEEIIIQoYVVoKkJUgPK+wT0l6+PAh3377LfXr16dp06YEBwcrz3NJSUn4+Pjg4OCAi4sL69ev13K0f5OEoRDq3bs3K1eupEWLFowePZotW7bw6NEjqlWrhrGx8asbAH799VeWLFnCmDFjaNOmDf/3f/+nlF28eJFr167RunVrjXNcXV3ZsWOH8vnhw4dER0fj5uZGfHw83t7euLu7s23bNmbOnEl0dDQrV658aRw7d+4kPDyc4OBgtm7dSq1atfDx8VGSgPv377Nr1y6WLVtG//79CQ4OJjAwkMDAQIKCgti4cSN79+59zTsnhBBCiMJAnfEUHX0jdHQ1H1V1Cvm2qt9//z137txh+fLlTJ06lV9++YUlS5YA4OfnR1JSEitXrmTQoEGMHTuWEydOaDniLLKG4TnnH+3j3KM9b6UtlUqFru6r87FqJk2wNfnkjdoePHgwVapUYcWKFURGRrJmzRqMjIzw8fHB09Pztdrw8PCgcuXKmJiY0K5dO3r06MHjx48pVqwY27dvp0GDBnzwwQca57i6uhIYGMjly5epVq0au3btwtLSkjp16nDt2jVGjRrFZ599homJCRUqVKBx48Zcvnz5pXEkJCSgr6+PpaUlFStW5JtvvuHTTz9VEoaMjAyGDRtG1apVKVOmDNOmTaNHjx7Y2toCULVqVa5cuYKLi8sb3UMhhBBCFFyqtNQc6xfgr21WVRmoMzPQ0St8j7FRUVEEBgZSvXp1ANq1a0d0dDSffvope/bsYceOHVSqVAkrKytiYmJYsWIFDg4OWo5aRhgKLVdXV5YvX050dDQzZ87E0dGRqVOnsmvXrtc6v3z58srPtra2lClTht27dwOwfft2XF1dc5xTunRp6tatq4wyPF+vcuXKNGvWjAULFjB8+HDat2/Ptm3bNKZN5aZ9+/Z88MEHtGrVii5duhAWFka1atXQ1//7fwIVKlQAUEZPLC0tlTJjY2PS0tJe65qFEEIIUTioMvJIGP6aolRYRxnMzc3ZuHEjqamp3Llzh/3791O7dm1OnTqFhYUFlSpVUuo6Ojpy8uRJLUb7t8KXmr1DNYs7U7P4v99CFCA1NRUTk5z/0HOr9yYuXLjA2rVrGT16NADFixenTZs2tG7dGnd3dw4dOoSOjo7GObk9tBsZGWl8dnNzY8eOHdSqVYsbN27kue1pu3btWLlyJT179uTw4cOMGDFCievzzz/H2dmZ+vXr06dPH5YuXfrK6ylVqhSRkZEcPnyYqKgoIiIiCA8P19jtSU9PT+Oc1xm5EUIIIUThpUrPPWHI3mZVnfEMjEzzO6x/bdy4cYwYMQIHBwdUKhUNGzbE29ubZcuWUbp0aY26pUqV4vbt21qKVJM8eRUymZmZhIWF5cg4dXR0KFasGCVLlsTAwIAnT54oZfHx8a9s19XVlUOHDrF161acnJwwMzPLtV7r1q25fPkyq1atokqVKnz88ccAbNiwAQcHB6ZMmUKPHj2wsbHh+vXrqNXql/a7d+9eIiIiaNq0KaNHj2b79u08efKE48ePvzJmIYQQQvw35ZUw6OpnfeFZEEcYHj58SOfOnZX/IiIictS5ceMGtWrVYvny5cyfP5+EhAQCAwNJTU3F0NBQo66hoSHp6emvfJbKDzLCUMjUrl2bFi1a4OXlxTfffEPdunVJSkpi165dnD9/nilTppCamsratWvp0KEDurq6hISE5Bh1eFGNGjWwtLTk559/5vvvv8+znrm5OY0bN+ann35iwIABGscvXrzImTNnKF26NKtWreLMmTMa04dyo1KpCAoKolSpUtSpU4fDhw+TlpZGjRo1SExMfLObI4QQQoj/BFV6KgZFLXIcV6YkFcCdkszMzIiMjMyz/MaNG0yaNIndu3dTtmxZIGvGR79+/Rg6dGiOKdZpaWkYGxu/8hkuP8gIQyE0Y8YMunbtSmhoKG5ubvTt25eLFy8SHh5O2bJl6dWrFw4ODvTs2ZNhw4YxcODA15rG4+bmhkqlomXLlq+sl5KSgpubm3Isu8+vvvqKbt26kZCQgJeXF+fPn39pWy4uLgwdOpSgoCDatGnDkiVLmDZtGh999NHr3QwhhBBC/Oeo0p+ia5j3lKSCOMLwKr///jtFixZVkgWAOnXqkJmZSVpaGvfuab6Q7t69e1hY5EyatEFGGAohY2NjfHx88PHxybXczMyMn376SePYuXPnlJ9jY2OBnOsnBg0axKBBgzSOZQ+rPV+3Y8eOdOzYUaNekSJFmDlzZo61G97e3sqf2T937tyZtm3bKnX69u1L3759c1xHgwYNiI2NVfrW19dXYs+2evXq3G6BEEIIIQoxVXoqOvp5L3oujC9vK126NI8ePeKPP/6gXLlyAMTFxQHg7OxMSEgIN2/eVDZ7OX78uLIrpLbJCIMQQgghhChQ8l7DUHCnJL2KnZ0dNWvWxN/fnwsXLnDy5EnGjBlDx44dsbGxwcnJCV9fXy5cuMC6devYtGkTPXv21HbYgCQMQgghhBCiAFFnpoMqI/ddkv5a9KwuhFOS9PX1CQ0NxczMjC+++AIvLy/q16/PhAkTAAgKCqJYsWJ07dqVOXPmEBAQgL29vZajziJTkoQQQgghRIGhSs+aipzni9sonGsYAMqUKcPMmTNzLStVqhTz5s3L54hej4wwCCGEEEKIAkNJGHJZ9Pz3lKTCt4ahMJOEQQghhBBCFBhKwpDLomcdPX3Q1SuUU5IKM0kYhBBCCCFEgfGyKUmQNcqgKoS7JBVmkjAIIYQQQogC4++EwTjXcl19o0K5S1JhJgmDEEIIIYQoMLKTAV2DIrmW6xgYy5SkfCYJgxBCCCGEKDBU6SnAy0YYZEpSfpOEoZBxcXHBw8MDtVqtcfzIkSNYWVmRkZHx1vvs1asXs2fPfuvtvq47d+7Qvn17rK2tiYiIyLXOo0eP+PHHH2nZsiW2tra0bt2a+fPnk56eni8xpqSkEBkZmWf5u/z7yfbll19Su3btHK+WBzh//jxubm7Y2toSFRXF+fPnlXsVFRX1r/rdvn07iYmJ/+jc69evY2Vlxc2bN/9VDEIIIf47/h5heNkaBhlhyE8FKmF4+PAh3377LfXr16dp06YEBweTmZkJQFJSEj4+Pjg4OODi4sL69eu1HK32nDx5ktWrV2s7jHyzdOlSdHR02Lp1K25ubjnKk5KS6NKlC2fOnCEgIIDNmzczfPhwwsLC8Pf3z5cYly1bxpo1a/Ist7e358CBA+jrv5tXn9y/f5/o6GgsLS3ZtGlTjvKQkBA+/PBDtmzZQoMGDQgJCaFy5crK53/q1q1bDBkyhJSUlH8TvhBCCKHIXsOgk8cIg46+EWpZw5CvCtSL277//nsSExNZvnw5f/75J99++y3m5uZ4enri5+dHSkoKK1eu5MyZM4wdO5ZKlSrh4OCg7bDzXfny5fnxxx9p1aoVJUuW1HY471xycjIff/wxFStWzLU8ODgYAwMD5s2bh7m5OQAVK1akRIkS9OrVi169emFra/tOY3xxxOdFhoaGWFhYkJqa+k7637ZtG5UqVaJVq1asX7+evn37apQ/fvwYa2trKlSooHx2cHBQPv9Tr7puIYQQ4k2p0lPR0TdGRyf377V1DYxJfywJQ34qUCMMUVFRfPHFF1SvXp2GDRvSrl07oqOjuXHjBnv27GHixIlYWVnh7u5Ohw4dWLFihbZD1oo+ffpQtGhRpk6dmmcdKysrDh06pHyOjIzE2dkZyJoe4+zszC+//EKTJk2oV68eixcv5siRI7Rp0wZ7e3v8/f1RqVTK+YmJifTq1Qtra2s8PDy4du2aUvb48WN8fX1xdHSkZcuWjBkzhuTkZI2+JkyYgKOjIyEhITliValULFy4kE8++QQbGxt69uzJhQsXgKzpUBs3bmTz5s1YWVnlODctLY0tW7bQo0cPjIyMNMrq16/P0qVLqV69OpA1gjVmzBhcXFxwcHDgm2++ISkpSYnzxSlDfn5+jBw5Esj6hn7YsGHKdbRo0YLQ0FDl3oaGhnLixAklRhcXF4KCgnBycsLV1ZVDhw5ptH/79m0GDRqEnZ0dzZs3Jzg4mLS0NADS09P54YcfaNSoEba2tvTt25crV67k+XcNsHnzZurXr0/z5s2JjY3l3LlzSpmLiwtHjx5l0aJFuLi4KJ/nzZuHi4tLjnjatGmjEQ/AoUOH6Ny5M7a2tri5ubF7924AZcTn008/VaZk7dq1S5n+1KlTJ/bt26e0k56ezoQJE6hbty7NmjVj//79L70uIYQQ7x91emqe05HgrylJMsKQrwpUwmBubs7GjRtJTU3lzp077N+/n9q1a3Pq1CksLCyoVKmSUtfR0ZGTJ09qMVrtMTExYeTIkaxfv57jx4//ozbu37/Prl27WLZsGf379yc4OJjAwEACAwMJCgpi48aN7N27V6m/adMmWrduzS+//EKFChXo16+f8vA7cuRIHjx4QHh4OCEhIVy9elVjKtCdO3dITk5m/fr1dOrUKUcsc+bMYfHixfj7+7N+/XoqVKiAp6cnyUE1ifIAACAASURBVMnJhISE8Omnn9K6dWsOHDiQ49wbN26QkpKCtbV1rtfZsGFDTEyy/qfj5eXF+fPnmTlzJj///DNXr15lxIgRr33Pdu7ciZ6eHmvWrMHDw4Mff/yRy5cv4+rqSu/evbGxsdGIcePGjSxcuJBp06ahp6enHFer1QwePBgzMzPWrVtHcHAwe/fu5ccffwQgPDycw4cPExoaysaNGylatOhLp1bdunWLkydP0qJFC2xtbbGwsNCYsrd27Vrs7e3p0aMHa9euVT5/8cUXrF27Nkc8kyZN0ognLi6OAQMG4OLiwoYNG+jatStDhgwhPj6e5cuXAxAREYGrqysXLlzgu+++o3///mzatImuXbvi5eWlJIAhISHs3buXn376iRkzZhAWFvba918IIcT7QfWKhCFrlyRZ9JyfCtSUpHHjxjFixAgcHBxQqVQ0bNgQb29vli1bRunSpTXqlipVitu3b7/V/m/evMn/s3fnYVFW/f/A3/c9+wCCbAoIiLhvuWVhpan5LbefRouWWT5Wapq2uKZhmVsuWU8prX6ttCctSn0yrUzbv7a4BJrggomAimyKMAOz3Pfvj2FGxgG8kT3er+vyupj7PvM5Zwa5rvnM+Zxzzpw5UyOxSkpKPL7xLk9QUBDatWtX5fh33HEHbr/9dixatKjSxbYVsdlseOaZZxAdHY0WLVrglVdewbhx41ylO9HR0Th16pTrG+iBAwfioYceAuAoHbvtttvw008/ITo6Grt378avv/4KPz8/mM1mrFixAoMGDcK5c+dc/T322GOIiIjwGIcsy9i0aROeeuopDB48GACwePFiDBkyBNu3b3ebOQgKCvJ4fkFBAQDAx8en0tebkpKC33//HTt37kRoaCgMBgNWr16NoUOH4sSJE4reMx8fH8ybNw8qlQpTpkzBhg0bcOTIEbRt2xYGgwFqtdptjCNHjkTHjh0BOGYwnH799VdkZGTgk08+cSUSCxcuxMSJEzFr1ixkZGRAp9OhVatW8Pf3x4svvug2o3O1r776CkajETExMRBFEYMGDcKOHTswZ84caDQa+Pv7Q6PRwGAwuErYyj7et2+f23hCQ0PdxpOQkIBu3brhySefBAC0bt0aRUVFKCoqQvPmzQEAzZs3h16vx/r163HPPfdg9OjRAICIiAgkJSVh8+bN6NGjBz799FPMnj0bN954IwDHLM6UKVMUvf9ERNQ0OBKG8tcvAKXnMNiKIcsyBEGow5E1XQ0qYThz5gw6d+6MadOmobCwEIsXL8aKFSvg5+cHrVbr1lar1cJqtZb7n2XLli2u3XTmzZuH5OTkcvuzWq1uNeVmsxklJTWTscqyrDiW0rp2WZYhSRIsFgvMZjNmzZqFe+65B//7v//r+mBqNptdH0JLSkpcsS0WC2RZdnuNYWFhMJvNrjr0wMBAV3utVguTyQSz2Qy73Y7OnTu77qlUKkRGRiIlJcUV9/bbb/cY77FjxyCKjkmsgIAAt9fpHEtubi4uXryIjh07ut3v1KkTjh075rpmt9vLfZ+MRscezRcuXKh0jUBKSgq8vLwQGhrq6jskJATNmjVDcnKya+2D2Wx2LUx2zqCYzWZYrVaEhIS4lekYDAbXewQ4SqvK/hwcHOx67HzPZVlGSkoKCgoK0Lt3b7f3w2q14tSpU7j33nuxe/du3Hbbba6SpVGjRlX42nbt2oVbbrnF9R4NGDAAW7Zswbfffuv6vTg3Dyj7ftpsNpjN5muO5/jx4+jQoYNb/841EpmZmQCA4uJimM1mnDx5EidOnEBCQoKrrc1mQ9euXXH27Fnk5eUhKirKFatt27Zuz3f+bsqyWq3l/g0XFxdX+Lddm+3Yd9333RjGyL7Zd1Pou67GqCrIAwS12/Wy7cS8AqhkCSlHjwCi50fZqoyTlGkwCcOZM2ewbNky7N27Fy1btgQA6HQ6TJw4EU8//bTbBzXA8QFYr9eXm1mOGTMGY8aMAQAcOnQInTp1KrfP5ORkV7kKALRr1+66vu0vj9lsdotd3XbOtqIoQqvVwmAwoG3btpgyZQreeustvPjiiwAcH2KdW4nqdDpXbJVKBUEQYDAYXN/Yq9VqGAwG1wdjvV7vai+Kouu+SqWCKIoe4zQajVCpVDAajdi2bRsAxx+pXu/4ViAoKAiHDx8GAPj6+rrtEOR83b6+vh5jdXKO1zn+8t6ndu3awc/PD8ePH0fXrl092jz99NMYMWIEvL29Xe9P2fdckiSo1WrXmJ0zBWUZDAZoNBqPMYqi6Pqm3vm47M/e3t6ux873XBAECIKAyMhI1xqIskJCQqDVarF9+3b88ccf+P7777F+/Xps3boVn3/+uWucTs4P6CdPnnT7wA8AX375JYYOHep6/5yvxfnY+fu9ejxlf4chISHQ6/WuthVx/t+RJAmPPvooYmNj3e5LkuR6vvP/LwDX78X5/PL+HjQaTbl/w8nJyRX+bddmO/Zd9303hjGyb/bdFPquqzGeOSFA4xOIkDLXy7a7iDTkZALtoyOh0jer1jhr0qFDh+q8z7rSYNYwHDlyBF5eXq5kAQC6du0Ku90Oi8Xisbd8Tk5OuSUqTc2jjz6K4OBgvPbaa27XNRqNa+ExAKSnp1ern5MnT7p+LigowOnTpxEdHY2oqCiYTCbY7XZERka6yo6WL1/u1n9FfHx8EBQUhMTERNc1q9WKv/76C1FRUdd8vkqlwvDhw7Fp0yaPpPLXX3/Frl270Lx5c7Rp0wZFRUVITU11e02FhYWIioqCRqMBALcxV+VsgKpMiUZFReH8+fPw8/NDZGQkIiMjkZ2djVdeeQWyLGPbtm347rvvMGTIECxduhTbtm1Damoqjh075hHriy++gLe3N7Zt2+b27/7778f333+P/Pz8Ko8nIiLCbTyRkZEe39T861//wieffOLxuqOiopCenu56XZGRkdi+fTv27t2L5s2bIzAw0JVEAuA3QERE5EGymiovSSq9x8Pb6k6DSRiCg4NRUFDgVvfu/HDXv39/ZGVluX2AO3DgQK1vldkYaLVavPDCC67SEKdu3bphw4YNOH36NL777rvrWudQ1tdff40tW7bg5MmTmD9/PiIiItCvXz9ER0fjtttuw5w5c5CYmIhjx45h7ty5yM3N9Vh3UpGJEydi7dq12LNnD1JTU7Fw4UKUlJRgxIgRip7/5JNPoqSkBFOmTHHtqrV161Y8/fTTiI2NRe/evdGmTRsMHDgQc+fOxZEjR5CUlOTa2alTp05o164d9Ho91q5di/T0dGzYsMFtp6FrMRqNyM7OVpSY3XrrrQgPD8esWbOQkpKCQ4cO4fnnn4coitDpdLh8+TJWrlyJn3/+GRkZGfjss89gNBrRunVrj1hffvkl7rrrLnTs2BHt27d3/XMuSv/yyy+rPJ7ExES38TzwwANITEzEO++8g7S0NHzwwQc4dOgQYmJiXCVhKSkpKCoqwoQJE/DVV1/h/fffR1paGj7++GO89dZbaNWqFQRBwIMPPoi1a9fil19+QVJSEl5++WXF7zERETUNkrX4mrskAeDhbXWowSQMPXr0QKdOnfDcc88hJSUFf/75J+Li4jBq1Ch0794dt956K+bOnYuUlBR89tln+OKLL1yLcJu6mJgYjw/XcXFxrg/db7/9Np566qlq9fHggw/i888/x913342CggKsW7fOtT5h5cqViIyMxMSJE10zHvHx8YpjT5gwAWPHjsULL7yA2NhYnD17Fhs3bkRgYKCi5/v7++Pjjz9GVFQU5s6dixEjRuDdd9/FpEmT8NJLL7navfzyy4iMjMTkyZPx6KOPol27dnjzzTcBOEpjFi9ejD179mDEiBE4cuQIHn74YcWvYfDgwRBFESNGjEBubm6lbVUqFeLj46FSqTB27FhMmTIFffr0wZIlSwAA48aNw6hRo/Dcc89h6NCh2LNnD95++21X+ZZTYmIi0tPTXQuMy4qKisLNN9+sKFG8ejxPPfWU23jCw8Oxbt06fPHFFxgxYgQ+//xzrFu3DuHh4fDz80NsbCxmzpyJhIQE9OjRA6tXr8Ynn3yC4cOH4/3338eyZctcW/o+8cQTuPvuu/Hss89iypQprtJBIiIioHS9ptUMobJdktSOMl8e3laH5Abk/Pnz8owZM+S+ffvKt9xyi7x48WLZbDbLsizLOTk58uTJk+Vu3brJAwcOlLdt26Yo5sGDByu8d/To0RoZd3lMJlONtquNmOy74fbdGMZYV31X9Heq9O+3ptux74bbjn2zb/bdMNpVJ6bdViKf+GCMnJu0tcJ2pvNH5RMfjJGLziZVe5w1qbLPnI1dg1n0DAAtWrTAv//973LvBQQE4K233qrjERERERFRXZEsjp3yKlvDIDhLkqxcw1BXGkxJEhERERE1bbLNmTAYK2wjakpLkriGoc4wYSAiIiKiBkHJDAMXPdc9JgxERERE1CA4k4DKdklylSRxW9U60+QTBrn0lGMianj490lE1LRIVhOAyhMGkbsk1bkmnTCoVCrXqchE1PCYzWbXoXpERPTPJ1kVzDCIKggqDUuS6lCTThj8/PyQlZUFSZLqeyhEVIYsyzCZTMjMzFR8ACARETV+ktW5hqHihAFwlCXJLEmqMw1qW9W6FhgYiIyMDBw7dqzGY1utVkXfjCptVxsx2XfD7bsxjLG2+9ZoNGjRogWaNWumaCxERNT4KU0YRLXONRtBta9JJwyiKCIiIqJWYicnJ6NTp0411q42YrLvhtt3YxhjffdNRET/PI6EQXCd5lwRUaNnSVIdatIlSURERETUcEhWMwSNHoJw5SOqbLVCOHrEbSMMQa3nDEMdYsJARERERA2CZDV7lCMV/vEr1F98BsvZDNc1kWsY6hQTBiIiIiJqEBwJg/uhbZbz5xz3Cgtd10S1jiVJdYgJAxERERE1CLK12GOGwXohCwAgmUyua4JGD5kJQ51hwkBEREREDYJkNUFUV5AwmK8kDCLXMNQpJgxERERE1CBI1mKI2vITBrupyHWNuyTVLSYMRERERNQgSFaz2wyD3WSCVHjZcc9kdl13HNxmgSzz8N26wISBiIiIiBqEq3dJcs4uAFeXJOkAyJBtlrocXpPFhIGIiIiI6p0syx67JFkvnHf9fPUaBgAsS6ojTfqkZyIiIiJqGGS7FZAliBqj65pzhkH29vHYJQkAd0oqx9mzZxW3DQ0NVdSOCQMRERER1TvJ6kgIhDIzDLYLWVD5+sFqNFYww8DD2642aNAgCILgcd15UnbZe8nJyYpiMmEgIiIionrn3Ca17BoGS9Z5aIJbwGqxuiUMglrn9hy64ptvvnH9/NNPP2Hjxo2YN28eunbtCrVajaNHj2LFihUYM2aM4phMGIiIiIio3klWxy5IZUuSbNlZMHTqCmRnw15Y4LousiSpQhEREa6f33vvPbz22mu44YYbXNf69euHxYsXY+rUqXjwwQcVxeSiZyIiIiKqd86SJGcyIFkssOXlQRPcAtDp3NYwuEqSrCxJqkxhYSFsNlu5161Wq+I4nGEgIiIiononX1WSZMu+AADQBLeAnJHuvoZBU1qSxBmGSo0cORJz5szB9OnT0bFjR8iyjMOHD+ONN97A2LFjFcdhwkBERERE9e5KSZIjYXDukKRp0RLQ6SGXlEC22yGoVBDULElSYv78+fD29sbKlSuRl5cHAAgMDMSDDz6IJ554QnEcJgxEREREVO88EwbHGQzOkiQAkMxmqLy9WZKkkFqtxrPPPotnn33WlTD4+/tXOQ7XMBARERFRvStvhkE0GCF6eUPWlSYIpWVJglrreMwZhmtKSUnB888/j6eeegpWqxWbNm3Cjz/+WKUYTBiIiIiIqN45EgbBtWWq9UIWNC1aOs4NcM4wmIoAAIIgQlDrWJJ0DT/99BPGjh0Lu92OxMREWCwW5OXlYerUqfjiiy8Ux2HCQERERET1TrKaIWr0roPFrBeyoAkOdtwsnWGwX7VTEg9uq9yrr76K5557DsuXL4dKpQIAzJgxAwsWLEB8fLziOEwYiIiIiKjeSdZiVzmSbLfDmpPtWL8AQC6zhsFJUOt4cNs1nDp1Cv369fO4fssttyAzM1NxHCYMRERERFTvJKsJgnNL1bxcwG6HJril4+ZVaxgAx3kNLEmqXKtWrfDnn396XN+7dy/Cw8MVx+EuSURERERU78rOMFizyuyQBFxJGK4uSeIMQ6WefvppzJkzB4cPH4bdbsdnn32G9PR0fP3111i1apXiOJxhICIiIqJ651jDcNUZDK6EwVmSdCVhENR67pJ0DXfccQf+85//4OLFi2jXrh2+//57SJKEjz76CEOHDlUchzMMRERERFTvZJsZorE5AEfCIGg0UPk5HkOlgqDVus8waPSwm/PrY6iNxrZt2zBs2DCsXLnS7brJZMLGjRsxfvx4RXGYMBARERFRvZMs7jMMmqAWEMQrxTCiwXhVSZKOMwzlyM3Nhan0fXruuefQpk0bNG/e3K1NSkoKVq1axYSBiIiIiBoPyVbsljConeVIpUSD0bMkiWsYPOzfvx9PPfWUa3va+++/v9x2d999t+KYTBiIiIiIqF7JsgzJaoKoMUCWZVgvZMHQpatbG9FogJ27JF3TnXfeib1790KSJNxxxx349NNP4e/v77ovCAKMRiP8/PwUx+SiZyIiIiKqV7KtBJBlx7qESxchW0qgCbpqhsHo5bFLkmy3Qpakuh5ugxcaGopWrVohJSUFzZs3R1FREcLCwhAWFoZffvkFRUVFVYrHhIGIiIiI6pVzLYKoMXjukFRK5VGS5Ng5ibMMFfvuu+8wfPhw7N2713Vt586dGDFiBPbt26c4DhMGIiIiIqpXktWRCLglDC1aurVxrGG4ctKzqCk9m4EJQ4XWrFmDmTNnYsqUKa5rGzZswNNPP+2xc1JlmDAQERERUb1yLl4WNQbHoW2iCE1AoFsb0WiAZLpSSiOqmTBcS3p6Om6//XaP6wMHDsSpU6cUx2HCQERERET1SrI6Zg4EjQHW7CyoAwIhqN335hENRsgWC2SbzdHWmTBYS+p2sI1IdHQ0duzY4XH966+/RkREhOI43CWJiIiIiOqVXJowOGYYsjzWLwCAaDQCcJz2rPJpBlHDNQzXMnPmTEyaNAm//PILunTpAgBITk5GYmIi1q5dqzgOZxiIiIiIqF5JroRB7zi0rbyEwXAlYQBYkqREv379sH37dnTv3h1paWk4e/Ysunfvjp07d6J///6K43CGgYiIiIjqlTNhkK0ypKLCCmYYvAAAdpMZGlwpSZJZklSp6OhozJ49G5mZmWjZsiVkWYZWq61SDM4wEBEREVG9ciYM9vwCAIAmuKVHG9HgOAXaNcNQWpLEGYaKWa1WrFixAjfccAPuvPNOnD9/HrNnz8bMmTNhKnOmxbUwYSAiIiKieiVZiwFBgC0nD4DnGQwAoHKuYTCxJEmp119/HT///DPWr18Pnc6RYI0fPx5Hjx7Fyy+/rDgOEwYiIiIiqleS1QxRY4Qt+wIAQBMc7NHGtYahdGtVliRd25dffokXX3wRffv2dV3r06cPli1bht27dyuOw4SBiIiIiOqVZDVDVDsWPKv8mkPU6T3alN0lCQAElQYQBM4wVCI/Px8BAQEe1w0GA4qLlb9vTBiIiIiIqF5JVjNEraF0hyTP2QUAEPXONQylZzYIAkS1nglDJWJiYvDuu+9ClmXXtcuXL2PNmjW4+eabFcdhwkBERERE9UqymiGoSxOGIM/1CwAgqNUQtDrXGgbHNT1kKxOGirzwwgs4duwYYmJiUFJSgsmTJ6N///44f/48nn/+ecVxuK0qEREREdUrZ0mSPT8PmhaeOyQ5iUajqyQJcJzbINm4hqGsn376CTfddBO0Wi1atGiBhIQE7Nu3D6dOnYLNZkNUVBRuvfVWiKLyeQMmDERERERUrySrGaLgKDkqb4ckJ9FohL3MDIOo1rEk6SozZszAzp07ERISgsGDB+Ozzz5DTEwMYmJirjsmEwYiIiIiqley1QyIjjr7ShMGg/sMA0uSPPn7+yMuLg5du3ZFZmYm3nrrLRhKz7C42lNPPaUoJhMGIiIiIqpXktUMWbYBKP/QNieVwQh7UaHrsajRw15cUOvja0zWrVuHN954AwcPHgQA/Pnnn9BoNB7tBEFQHJMJAxERERHVG1mWIVmLIVstEI1eUHl7V9hWNBpgzblw5bFaD6vtQoXtGxqr1YrVq1dj27ZtAIC77roLCxYsgFarRWZmJuLi4nDw4EGEhIRg3rx5GDBgQJX7yM7Oxpo1a6DT6TBo0CC8+eabaN68ebXGzV2SiIiIiKjeyLYSADKkQnOl5UhAaUmS2y5JukZ1cNvKlSuxe/duxMfH480338RPP/2EdevWQZZlTJ06FX5+fkhISMDdd9+NGTNmID09vcp9zJgxA3l5jhOzBUGo0kxCRTjDQERERET1RrI6zlWwXyqELrh1pW1Fo5f7LkmN6ByGgoICfPzxx3j77bfRu3dvAMCTTz6JnTt34tdff8Xff/+Njz76CN7e3mjbti3+7//+DwkJCXjmmWeq1E/ZNQxnz57lGgYiIiIiatycCYNUUAhNu2vPMMhWK2SbzXEug6bxJAwHDhyAXq9Hv379XNdiY2MRGxuLt956C507d4Z3mXKs3r17Y//+/VXuR+kahqpgwkBERERE9caZMMAiX7skyVh62rPJBFWzZhDVekCyQ7bbYJNk/P7777U93Ot25swZhIWFYceOHXjrrbdgMplw11134ZlnnkF2djaCrzrhOiAgAOfPn69yPx07dsS6desAoMbWMChKGKZOnYoRI0Zg0KBB0Ov11eqQiIiIiMjJlTDYUemhbYBjhgEA7KYiR8Kg0Tli2Ipx7MRp5OXloUWLypOO2nLp0iXExsa6Ho8ZMwZjxoxxPS4qKkJGRgY2bdqERYsWoaioCIsWLYLNZoPZbPaYBdBqtbBardUa0969e8sd544dO7Bt2zZ8+umniuIoShjatGmDV199FQsWLMCgQYMwYsQI3HbbbVCrOUFBRERERNdPcp6jYKv8DAYAUBkdCYNzHYOgdnyRnZ97AadPn0br1q3r7fOpr68vPv/88wrvq9VqFBYWYtWqVYiIiAAAzJkzB3PmzMHdd9+NwsJCt/YWi6XGvqi32+348ccfsXXrVnz//fewWq24+eabFT9f0Ts6a9YszJo1C0lJSdi1axcWL16MoqIi3HnnnRg+fDj69u1bIyuwiYiIiKhpkayli5gFNVS+fpW2dc4wOBMGUa2HLMtI+vNPaLXe6NixI06ePFmr471ewcHBUKvVrmQBAKKiolBSUoKgoCAcP37crX1OTg6CgoKq1WdKSgq2bt2KHTt2IDc3F4Ig4L777sPEiRPRunVrxXGqtK1q9+7dMXfuXGzbtg0PPPAAtm/fjkceeQQDBgzA66+/DlOZba6IiIiIiK7FWZKkaR4EQaz8o6krYTA5niNqdDiba0J+fg46d+5c7cW9talHjx6w2Ww4duyY61pqaiq8vLzQo0cPpKSkuH2WPnDgAHr06FHlfvLy8vD+++9j1KhRGD16NL788kvccccdeO+99yCKIh5++OEqJQtAFRY9X758Gd9++y127dqFffv2ITIyEpMnT8bw4cNx4cIFrFy5EgcOHMAHH3xQ1ddFRERERE2UXFqSpAmofP0CAIhXlSRZ7CJSzxagdTsjWrVqVXuDrAGtW7fG4MGD8dxzz+Gll15CcXExVq9ejfvvvx8xMTEIDQ3FvHnzMH36dHz33XdITEzE0qVLq9xP//79ERYWhqFDh2LRokW44YYbql0JpChhmDRpEvbt24fAwEAMGzYMzz77LDp27Oi6HxkZiUcffRTz58+v1mCIiIiIqGmxW02ADKiDqpAwlH4Tf/xUBmySjC7tI2t1jDVl5cqVWLp0KR555BGo1WqMHj0aM2fOhEqlQnx8PBYsWIDY2FhERERg7dq115UE3XTTTfjtt9/w7bffoqCgAIWFhYiJiYFKpbrucStKGEJCQrBhwwb06dOnwjY33ngjtm7det0DISIiIqKmx154EbABulYh12xbdg1DXl4eMs/nIiLYG0bt9X8Yrkve3t5Yvnw5li9f7nEvMjISmzZtqnYf69evR15eHnbt2oUdO3bg448/hpeXF/r37w9ZliFJUpVjKlrD8Pfff6N9+/Ye1/Py8nDPPfcAcOwVGxnZOLI7IiIiImoYbIUXATugvsYOSQAgiCIEvR7WwstISkqC0ccHUS29G83hbXXF398f48aNw8cff4w9e/Zg0qRJOHnyJCRJwrhx47Bo0SL89ddfiuNVOMPwww8/4M8//wQA/PHHH4iPj/c4VvrMmTPIyMi4zpdCRERERE2dZCpQtKWqk2gw4nR6Bi77BqJX9x4w//Cpax0EeQoNDcWkSZMwadIkpKam4r///S927tyJzZs3Izk5WVGMChOG6OhorF+/HrIsQ5Zlj2OlBUGA0WjEihUrqv9KiIiIiKhJshcXOg5tCwhU1N6q1uBE2hm0H3wnQltFIhWAZCup3UH+Q0RHR+OZZ57BM888g6SkJMXPqzBhaNWqFT788EMAwHPPPYcFCxbA29u7+iMlIiIiIiolWc0QRC0EhQeunSgshGSxomvXrhBUakBUsSTpOnTv3l1x2wp/M+np6WjVqhUEQcDUqVORn5+P/Pz8ctuGh4dXfZRERERE1OTJ9hIIGsO1GwK4cOECsi02tPE2wli6Y5Ko1rMkqZZVmDAMGTIEv/zyCwICAjBkyBAIggBZlj3aCYKguP7pWqxWK1avXo1t27YBAO666y4sWLAAWq0WmZmZiIuLw8GDBxESEoJ58+ZhwIABNdIvEREREdUPGTao9deuYrHb7Th8+DB8fJohXHtl3x5RrecMQy2rMGHYs2cP/P39XT/XhZUrV2LPnj2Ij4+HIAiYNWsW1q1bh6effhpTwfvWYwAAIABJREFUp05FdHQ0EhISsHfvXsyYMQM7duzg7AYRERFRY2U2A6IMlaHZNZuePHkSJpMJnaPbAMevfFktaJgwKGWxWJCSkoKoqCj4+Pgofl6F26qGhYW5ToULCwuDr68vAgMDERYWhqKiIuzatQvp6ekICwur/ugBFBQU4OOPP8bixYvRu3dv9OrVC08++ST++usv/Prrr/j777/x0ksvoW3btpg0aRJ69uyJhISEGumbiIiIiOqekJ8LqACVt1+l7UwmE06ePImwsDAEtQiGvfSkZwAQ1TrIXPRcrr///htjx47FwYMHUVhYiNjYWNx///24/fbbsX//fsVxFJ3D8P333+O2227DgQMHkJ6ejnHjxuHTTz/FlClTsHnz5ut+EWUdOHAAer0e/fr1c12LjY3Fe++9h8TERHTu3Nlt0XXv3r1d274SERERUSOUnw0IgNo3oNJmJ06cgEqlQpcuXRyHt9lskCwWAKUlSVzDUK7FixcjODgYrVu3xmeffYa8vDz88MMPmDhxIl5++WXFcRQlDK+++iomT56MmJgYJCQkIDAwEF999RVWr16N9evXX/eLKOvMmTMICwvDjh07MHz4cAwcOBArVqyAxWJBdnY2goOD3doHBATg/PnzNdI3EREREdU94VIOAEDjG1Rhm6ysLOTl5aFjx47Q6XRupz0DjpIkmSVJ5Tp48CBmz54Nf39/7NmzB4MHD0aLFi0wevRonDhxQnEcQS5vJfNVunfvjq+//hohISEYOXIkbr/9dsycOROZmZkYNmwYEhMTq/ViACA+Ph7r169H27ZtMXv2bBQVFWHRokUYPHgwioqKUFJSgldeecXVPiEhAfHx8di7d69HrC1btmDLli0AgHnz5lWpRqumFBcXQ6/X11i72ojJvhtu341hjOybfTe0duybfbPvhtGuSm2//A80wSdgaxMLOaBbuU0SExORn5+PAQMGQBAECH8lQb1jK6yPPwn4B0CV+hmEorOwdZ9e5XHWpOLiYvTs2bPO+61Mv3798O677yIkJAT9+/fHa6+9hjvuuAO//PIL5s+fjx9++EFZIFmBwYMHy3v37pWTk5PlDh06yPv375dlWZY3b94sDx06VEmIa3r77bfl9u3by2lpaa5ru3btkrt16yYvXLhQnj59ulv7jz76SFHfBw8erJHxVdXRo0drtF1txGTfDbfvxjBG9s2+G1o79s2+2XfDaFeVtscWz5BPfDBGLkzfX+79oqIi+b///a+8c+dO17XCQ/vlE4+Mkc2pJ2VZluWsX96WT30y5brGWZPq6zNnZRYuXCgPGTJEHjFihDxw4EC5pKRE/vLLL+V+/frJr7zyiuI4ik7I+Ne//oXp06dDFEXExMSgd+/eiI+PR3x8fJXqnyoTHBwMtVqNiIgI17WoqCiUlJQgKCgIx48fd2ufk5ODoKCKp6+IiIiIqGETTJcAAKLGWO79tLQ0CIKAkJAQ1zXPkiQdS5IqEBcXh02bNiEzMxMPPfQQtFotLBYLnnjiCYwbN05xHEUJw7hx49CzZ0+cPXsWt956KwDHFMegQYPQsWPH63sFV+nRowdsNhuOHTuGDh06AABSU1Ph5eWFHj16YP369TCZTK5DOg4cOIAePXrUSN9EREREVLekkhIIFscHfVHtWUIkSRLOnDmDFi1aQKfTua6LpZ8FJVOR67mSrRiyLLt2+CQHtVqNCRMmQJIkZGZmwmazYdiwYdBqtVWKo2jRMwB07twZd9xxB3Q6HSRJQvfu3dG+fXtIklTlwZendevWGDx4MJ577jkcOXIE+/fvx+rVq3H//fcjJiYGoaGhmDdvHk6cOIF33nkHiYmJuO+++2qkbyIiIiKqW9bsC66vrkWt50nP586dg8ViQevWrd2uu2YYTI4ZBlGtB2QZst1aq+NtjKxWK1asWIEbbrgBd955J86dO4fZs2dj5syZMJlM1w5QSlHCcPjwYYwZMwZdunRB586d0aVLF7d/NWXlypXo0KEDHnnkEUybNg1DhgzBzJkzoVKpEB8fj7y8PMTGxmL79u1Yu3YtWrVqVWN9ExEREVHdsWadB1SOnwW1Z8KQlpYGLy8vBAYGul13Jgx2s9nxXI1j9oFlSZ5ef/11/Pzzz1i/fr1rlmb8+PE4evRolZYVKCpJeumll6DT6fDGG2+4nYVQ07y9vbF8+XIsX77c415kZCQ2bdpUa30TERERUd2xXsiqcIbh8uXLyM3NRefOnT3KjESDo61zDYOznEmyFUOFa58Y3ZR8+eWXWLVqFXr37u261qdPHyxbtgxTp07FSy+9pCiOooThxIkT+OSTT9C+ffvrGy0RERERURnW7CzIOhUEARBEjdu9tLQ0iKKI8PBwj+cJoghBb3AvSQIgWXna89Xy8/MREOB5KJ7BYEBxsfIZGUUlSR07dkRGRoby0RERERERVcKWfQEw6CBqDG6zCHa7HRkZGQgJCalwca7KaHTbJQlgSVJ5YmJi8O6770Iuc+za5cuXsWbNGtx8882K4yiaYRg5ciSef/55jB49GuHh4dBo3LPAe++9V3GHRERERES23FwgXA1Rq3O7npmZCavV6rHYuSyxTMJwZYaBCcPVXnjhBUybNg0xMTEoKSnB5MmTce7cOYSHh+PNN99UHEdRwrB+/Xro9Xp89dVXHvcEQWDCQERERESKybIMa14OEG2AeNWC57S0NPj4+MDf37/C54sGo2dJko0lSVdr0aIFEhISsG/fPpw6dQo2mw1RUVG49dZbIYqKN0tVljDs3bv3ugdKRERERFSWZCqCXFwMqI0QNVcShosXL+LixYvo2rVrpc8XDUbYL10EwJKkq0mS5EoGnMcf3HTTTbjpppsqbHctihIGwHGy8qeffoq0tDTMnj0bv/32G6Kjo12HrBERERERKWHLyXH8oJIhaq4c2paWlgaVSnXNrfNFowHW82cdP5fZJYmALl264Oeff0ZAQEC5u0yVlZycrCimooTh8OHDmDBhArp06YKDBw9i2rRp+O233zBv3jzEx8e7Tn8mIiIiIroWW15pwiBKrhkGq9WKzMxMhIWFeayXvZpoMMLONQzl+uCDD+Dr6wsA2LBhA1QqVbVjKkoYXn75ZUyaNAmTJ09Gz549AQCLFi1CUFAQXnnlFSYMRERERKSYNbc0YYDNlTBkZGTAbrdXutjZSTR6QTKZIMsyhNKEgSVJDn379nX9vHTpUqxevRodO3asVkxFhUtHjx7F0KFDPa6PGjUKp06dqtYAiIiIiKhpseXkQFBrAMkKoTRhSEtLg5+fn+vb8cqoDEbAbodstTrOZVBpuOi5HJcuXaq7GYaAgACkpqYiIiLC7fqBAwcQHBxc7UEQERERUdNhy8uBKsAfspQFUWNAXl4eLl++jBtuuEHR80Vj6WnPpiKIWi0EtZ4lSeX4f//v/2HixIkYOXIkwsLCoNO5b2GrdKdTRQnD448/jri4ODz++OOQZRm//PILzp07hw8//BCzZs2q+uiJiIiIqMmy5uZCHegPGxwJw9+nT0Oj0SAsLEzR80WDEQAcW6v6NYeo0bMkqRy7du2CRqOp9tEIihKGMWPGICgoyHUewyuvvIKoqCgsXboUw4YNq9rIiYiIiKhJs+XmQN/NsdOmTVbh3LlziIyMVFw+40oYyix85i5Jnio7GiEvL09xHEUJwx9//IH+/ftj0KBBbtctFgu+/fZb3HHHHYo7JCIiIqKmS7bZYL90EWq/ZkARcDbnMiTJgMjISMUxRKN7wsCSpPJ16tQJv/zyi8cheBkZGRg5ciQOHTqkKE6lCYMkSZBlGQ8//DB+/PFHBAQEuN1PSUnBs88+i6SkpCoOn4iIiIiaIlteLiDLEJt5QS6UkZGVh4Dw7vDx8VEc40pJktnxWK2DzEXPAICtW7ciISEBgONE7SeeeAJqtftH/uzs7CqtQ64wYdi8eTNefPFFCIIAWZbRv3//ctvdcsstijsjIiIioqbNuaWq6GNA3uUSmEUJPaowuwBcmWFwncWg0cNaUlCzA22k7rzzTmRmZgJwbFDUq1cveHl5ubXx8vLC//zP/yiOWWHCMHbsWERHR0OSJDzyyCN4/fXX3ba5EgQBRqMR7du3r+rrICIiIqImylaaMAhGHTJziqBv6Y2QkJAqxVAZyyx6BkuSyjIajXjyyScBAGFhYRg2bJjH7khVVWlJ0o033ggA2LNnD0JDQys9WpqIiIiI6FqcCUMJJOQUlODm1lEQRUVHg7kIOj0gCJBMRQBQuksSS5KudvfddyM1NRVHjhyBzWaDLMtu92t0l6SgoCBs2bIFhw8fLrezlStXKhw2ERERETVlttxcqJr54kxGJmRZRlSbdlWOIYgiRL0BkvnKGgbukuTpnXfewZo1a+Dr6+tRllTj26o+//zz+Oabb3DbbbfB29u76qMlIiIiIgJgzc2GrZkvTp0+jSBfPbx9A679pHKIRqPbLkmyrQSyLNXkUBu9zZs345lnnsHkyZOrFUdRwvDDDz9gzZo1HtuqEhERERFVhS03F6kSIFmBduH+EFSa64ojGoyuNQyiWg8AkG2WGhvnP0FBQQHuvPPOasdRVDCm1+sRHh5e7c6IiIiIqOmSZRlZmenIlYA2oX7Ql26Pej1Eo+HKwW0ax6JeliW5GzVqFDZv3uyxnKCqFM0wTJs2DcuWLcOCBQsQHh4OjcY9E6zqQhUiIiIianqsly4i5UIOmnfrhfBgLxSdu/7de0SDF+wXHacVC6UzDNwpyV1+fj6++eYbfPHFFwgLC/P4DP/RRx8piqMoYVi3bh1yc3MxcuTIcu8nJycr6oyIiIiImq7kA/thttkwoHcfSMX/B1nb7LpjiUYjLGczHD+7SpK4U1JZbdq0wZQpU6odR1HCsGrVqmp3RERERERNV2FhIU4cOYyWRiNaRLfF+f3bAEPYdcdTlV3DwJKkcjnPY6guRQlD3759a6QzIiIiImqaDh8+DBQWoq1fM6j9msFmyoPs1/W64znXMMiyfFVJkraGRtz4zZkzp9L7So9GqDBhuFYH19MZERERETU9mZmZyMnJQZSPF/QGI+xCCQAZss7vumOKBiMgSZAtJRA1zpIkJgxlqVQqt8c2mw3p6elITk7GI488ojhOhQnD1R0QEREREVWV1WrFX3/9BV9fX4QIgDUgALbCbMdNXfPrjiuW7rAkmUwQ1c6SJK5hKGv58uXlXt+wYQOOHj2qOE6FCUNFHRARERERKXXs2DGUlJSgb9++uPzd11AHBMJWeAEAIFcnYTCWJgxmM8TmjlOMZe6SpMiQIUPw+uuvK27P/VCJiIiIqFZcunQJp0+fRuvWreHn5wdbbg40/oGwFl4ARDWg8bnu2K6EwWRy7ZLERc/uJEny+FdQUIAPPvgAzZsrT9YULXomIiIiIqoKWZZx+PBhaLVadOzYEZLFAnvBJagDA1FSmAaNdxCsgnDd8Z0lSXZTEQS1FoDgSBhYVe/SuXNnCOW8xzqdDkuWLFEchwkDEREREdW4M2fOID8/Hz179oRGo4Hl/DkAgDogEEX5f0DjHVyt+FdKkkwQBBGCWufYJen6z4L7x/nwww/dHguCAI1Gg7Zt28Lb21txHCYMRERERFSjLBYL0tLSEBAQgFatWgEAbHk5AAC1fwCs6RegC2xbrT5UhisJAwCIah0PbruK82iE1NRUpKamwm63IyoqqkrJAlCFhKGgoACpqakoKSmBLMtu92JiYqrUKRERERH9c6WmpkKr1aJbt26ua7YcR8Kg8vWCZCmq/gyDa5cks+OxRs81DFe5dOkS5s6di++//x6+vr6w2+0oKipCnz59EB8fDx8fZWtIFCUM27dvR1xcHCwWi8c9QRCQnJxctdETERER0T9SXl4ezp8/j4EDB7p9ILXm5gCCAFltAwBofIIB0/X3I+j1gCC4ZhgEtZ67JF1l8eLFyM7Oxq5duxAVFQUAOHnyJObNm4fly5dj2bJliuIoShhee+01PPTQQ5g6dWqVpzCIiIiIqOk4fPgwdDod2rdv73bdlpcLla8fbOY8AIDaOxgwXf8HfEEQIBqMkEzOkiTOMFztu+++wwcffOBKFgCgbdu2WLhwIR5//HHFcRRtq3rx4kU8+OCDTBaIiIiIqEL5+fkoKChA69atPU8ZzsmGOiAQ1sIsAKUzDNUkGo2QTEUA4Fj0zDUMbvR6fbnXBUGA3W5XHEdRwjB48GDs2rVLcVAiIiIianoyMzMhiiKCgoI87tnycqEJCIStMBui1gsqrVe1+xMNRtjNV9YwyJxhcDNo0CC89NJL+Pvvv13XTp06hcWLF2PgwIGK41RYkjRnzhzXzyaTCWvWrMHu3bsRHh7ukTGuXLmyKmMnIiIion8YWZZx9uxZBAcHQ6PRuN+TJNhyc+HV60ZYLp+p9oJnJ9FoLLNLkt6xrSq5zJ49G9OmTcPQoUNdlUJFRUUYMGAA4uLiFMepMGEomxT4+vpi9OjR1RguEREREf2T5ebmoqSkBK1atcLFixfd7tkvF0C2WaEOCEBR4QFo/VrVSJ+iwQhbrmP3JccuSSxJKqtZs2bYuHEjjh07htTUVOh0OrRp08ZtTYMSFSYMy5cv97hWWFjoyk5OnjyJtm2rt38uEREREf0zZGZmQq1WIzg42CNhcH6oV/sHwnr+ArzCe9dInyqDARbXLkk67pJURlJSEjp06ACdTocOHTqgQ4cO2LNnDy5dulTlWIrWMJw6dQpDhw5FfHy869qECRMwcuRIZGRkVLlTIiIiIvrnkCQJ586dQ8uWLT1K14ErCYPgowUkGzTenmscrsfVJUmyZAVkqUZiN1Y2mw2zZ8/GmDFjkJiY6HZvx44deOCBB/D888/X/KLnRYsWoXv37pg6darr2jfffIOOHTvixRdfVNwZEREREf3zXLhwAVarFWFhYeXet+bmOn7QOs5gUHu3qJF+RaMXJJMJsixD0JTuCGT3PDesKfnf//1f/Pbbb/jwww9dJz07vfrqq9iwYQP27NmDjRs3Ko6pKGFISkrCk08+6batqtFoxJNPPomDBw8q7oyIiIiI/nkyMzOh1WoRGBhY7n1bbjYEvQF262UAgManhmYYDEZAliEXF0NU6xwXpaadMGzduhVxcXG48cYby71/8803Y86cOUhISFAcU1HCEBAQgMOHD3tcP3bsGJo1a6a4MyIiIiL6Z7HZbMjKykJoaChEsfyPlrbcXGgCAmAtvABAgMarpkqSDAAAyWyCqOYMAwCcO3cOnTt3rrRNnz59qrSsQNFJz4888ggWLlyIkydPugaQnJyMjRs3YvLkyYo7IyIiIqJ/lqysLNjt9grLkQDHGgZ16RkMamNzCCpNhW2rQjQYAQB2swmCM2GQrDUSu7EKDAxERkZGpb+Ps2fPonnz5opjKkoYxo8fD71ejy1btmDDhg3QaDSIjIxEXFwcRo4cqbgzIiIiIvpnycjIgMFgqPQDqDUvB7qoaFgK06H2qZn1C8CVhEEymSB6O0qShCZekjRkyBC88cYb6NWrl8d5GABgtVqxdu1a9O/fX3FMRQnD2rVrERsbi/vuu0/5aImIiIjoH81isSA7OxvR0dEQBKHcNlJJMaTLl6EODERR4UEYQ7rWWP+isTRhMJug8itda9vES5KmTp2Ke++9F7GxsRg/fjy6du0KHx8fXLp0CUlJSfjoo49QUlKCNWvWKI6pKGF4//33MWrUqOseOBERERH985w7dw6yLF+jHMmxQ5Lazw/2U3nQ1NAOSQCgcs0wmKHWlC64buIzDD4+Pvjkk0+watUqvPzyyzCbzQAcJ3H7+vpixIgRmDZtGvz9/RXHVJQwjBo1CuvWrcPjjz+O0NBQ6HQ6t/sVLXAhIiIion+uzMxMeHt7V7oJji3PcQYDvB3nM6hr6AwGwH2GgYuer/D19cWSJUuwcOFCpKeno6CgAM2bN0dERMR1fW5XlDB8++23yMrKwvbt28u9n5ycXOWOiYiIiKjxKi4uRm5uLjp06FBpO2tOacKgcxyopqnJNQzOhMFU5NpWtamvYShLq9UiOjq62nEUJQyrVq2qdkdERERE9M+RmZkJAJWWIwGlpzwLAiQ4SmNq6pRnABC0OkAUIZlNVw5ua+K7JNUGRQnD1afElXX+/PkaGwwRERERNQ6ZmZnw8/ODl5dXpe1seblQN/eHrSgbgkoDlcGvxsYgCAJEgxGSyQxRpUXwLVOReblmtmylKxQlDKmpqVi5ciVOnDgBSXJMJ8myDIvFgosXL7IkiYiIiKgJKSoqwqVLl9ClS5drtrXmZEMdEAhrYTbU3kEQhJpd+yoajbCbTQCAZtH9kdnEP5d++umnGDZs2DUTuapQ9BuLi4vDpUuXMHnyZOTn5+Pxxx/H8OHDYTabsXz58hobDBERERE1fM5ypNDQ0Gu2teXllh7adqFGd0hycswwmGo8bmO1ZMkSXLx4EQDQqVMn5OXlVTumohmGI0eOYMuWLejUqRO2bduGNm3aYNy4cYiKisInn3yC0aNHV3sgRERERNQ4ZGRkIDAwEHq9vtJ2siQ5Eoa+MTBdPgR9UPsaH4toMEAyM2FwioiIwLRp09CuXTvIsoxFixZ57HDqtHLlSkUxFc0wqNVq+Pj4AADatGnjKkHq168fjh8/rqgjIiIiImr8Ll26hKKiomsudgYA+6WLgN0OVXNvSFYT1N7BNT4eldGr0c0wLFiwAOPHj3c9TklJwZgxY3DDDTcgNjYWSUlJ1x37vffeQ9++faFWO+YFRFGESqUq959SimYYevfujfXr12POnDno2rUrvvjiC0yYMAGJiYkVZixERERE9M+TmZkJURQREhJyzbbWXMeWqoKX4yOnxqfmEwbRaGxUMwz79u1DQkKCa1Mhk8mExx57DMOGDcOyZcuwefNmTJ48Gbt374a3t3eV47do0QLz588H4JgJWrRoUaXnZCihKGGYN28epk6div/85z944IEH8OGHH6JPnz4oLi7GtGnTqjUAIiIiImocZFlGZmYmgoKCoNFcezciW2nCIDvPYKiFGYbGtIbBZDIhLi4OvXr1cl3buXMnNBoN5s2bB1EUMX/+fPzwww/YtWsX7rvvvmr1t3HjRphMJvznP//BqVOnYLfb0aZNGwwfPrzmT3qOjo7G119/DbPZDIPBgM8++wy///47/Pz80KNHj+t+EURERETUeOTl5aG4uBidO3dW1N6WmwsAkIViAKiVkiTRYIBUbIYsSRCu4xTjuvTqq6+ib9++CAoKwsGDBwEAiYmJ6NWrl+sEZkEQ0KtXLxw6dKjaCUNKSgoee+wxaDQadO3aFXa7HXv37sW6deuwadMmtG3bVlEcxe9qSUkJdu/ejddffx0WiwV6vV5R7RoRERER/TNkZmZCpVKhZcuWitrbcrMhGr1gK8mHqPWGSmus8TGJRiMgy5BLims8dk06dOgQvvrqK8ydO9ftenZ2NoKD3ROpgIAAZGVlVbvPpUuX4rbbbsPu3bvxxhtvID4+Hnv27MHAgQOxdOlSxXEUzTCkpaVhwoQJUKlUOH/+PO6++25s3rwZ+/btw/r169G1a9frfiFERERE1PBJkoRz586hZcuWihfMWnNzoQ4IgPXyhVpZvwA4SpIAwG4yuX6uD5cuXUJsbKzr8ZgxYzBmzBgAgMViwYIFCzB//nz4+vq6Pc9sNkOr1bpd02q1sFgs1R5TUlISFi1a5FoADTg2M3r88cdxzz33KI6jaIZhyZIlGDx4MHbv3u2qV1uzZg3uvPNOLFu2rIpDJyIiIqLGJj8/HxaLpUoVJrbcHKj9nWcw1FLCYHQkCZLZXCvxlfL19cXnn3/u+udMFgBg3bp1iIyMxNChQz2ep9PpPJIDZzVPdQUHB+PMmTMe10+fPl2lBdWKZhgOHTqE+fPnQxAE1zVRFPHYY49h1KhRijsjIiIiosYpKysLXl5eCAoKUvwcW24O9O3aw1SUCK+IvrUyLpUzYTAV1Ur8mvDFF18gOzsbPXv2BABYrVbY7Xb07NkTI0aMQHZ2tlv7nJycKr3PFRkzZgyef/55TJ8+Hd27dwfgWDOxdu1ajB07VnEcRQmD0WhEdnY2oqKi3K4fP3682ts0EREREVHDZrfbkZ2djbZt27oW516LZDZBMhVBbG4E8u21XpLUkHdK2rhxI2w2m+vx+++/jyNHjmD16tX4448/8Oabb0KWZQiCAFmWcejQITz22GPV7vfRRx+F2WzGmjVrcOnSJQBAUFAQHn30UUyYMEFxHEUJw9ixY7Fw4ULMmjULAJCamop9+/bhtddewwMPPFD10RMRERFRo5GWlgZJktCqVSvFz7HmOXZIErxUQH7tbKkKlEkYGvBZDFeXcTVr1gx6vR6RkZEICAjAK6+8gsWLF+PBBx/EJ598gsLCQgwbNqza/QqCgOnTp2P69OnIzc2FTqe7rrMdFCUMU6dOhY+PD5YsWQKz2YwpU6YgICAA//rXv/Doo49WuVMiIiIiahyKi4tx7Ngx+Pv7IyAgQPHzrj6DoTa2VAXKrmFouAlDZby9vfH222/jhRdewKeffooOHTrgnXfeua4P9pWpyu/uaooSBgAYP348xo8fD5PJBLvdDh8fn+vulIiIiIgah6NHj8Jut6N9qFeVnmfLKU0YxBJAEKDxCqyN4ZUpSarfRc9V8cwzz7g97t69O7Zu3VpPo7m2axahJSUlua3c/vXXX/Hvf/8b8fHxNbI/LBERERE1TNnZ2cjMzESrZjY0O/0RTOcOK36uLS8HUKlgt12G2hgAQaX4e+oqEbRaRz+NdIahMagwYcjLy0NsbCzGjBmD9PR0AMD69esxbdo0/Pnnn/jjjz8wevRopKam1tlgiYiIiKhuSJKEw4cPw8vLC2HeJQCAojN/KH6+NTcX6ub+tbqlKuCo0xcNxga9S1J9Wbt2Lc6ePVvtOBUmDK+99hq0Wi2++eYbREdH4/Lly3jNO4B8AAAgAElEQVT99dfRr18/JCQkYMOGDbj//vuxZs2aag+CiIiIiBqW1NRUFBUVoVu3brBedOzlX5i+H7IsK3q+LTcb6oBAWAuza239gpPKaGy0axhq0/vvvw+73V7tOBUmDN9//z1mz56N8PBwAMBPP/2EkpISt0MohgwZgj/+UJ5pEhEREVHDZzKZcPz4cYSGhiIoKAiWvL8hi1rYTXkoyT2lKIYtNxfqgOawm/NrbUtVJ8cMQ+NZw1BXRo0ahXXr1iE1NRVmsxmSJLn9U6rCYrL8/HyEhoa6Hu/btw9qtRr9+vVzXfPz86uRY6uvtmDBApw5cwYbN24EAKSkpOCFF15ASkoKoqOj8eKLL7oOnyAiIiKimnX48GGIooguXbrAXlwAmykPUsitUJ3/PxSl74c+MLryAJIEW34exOYGwFx7W6o6iZxhKNe3336LrKwsbN++vdz7ycnJiuJUmDCEhITg9OnTCAkJgSRJ+PHHH9GzZ0+3LZ7279/vllTUhH379iEhIQF9+zpOAzSZTHjssccwbNgwLFu2DJs3b8bkyZOxe/fuGt9uioiIiKipO3/+PC5cuIAuXbpAr9fDdPY4AEBuFgWDlIei9P0I6Dmm8iCFlwFJArzVgBlQ18EMg/XC+VrtozFatWpVjcSpsCRp9OjRWLZsGb755hssWbIEWVlZePDBB133k5KSsGbNmho5VMLJZDIhLi4OvXr1cl3buXMnNBoN5s2bh+joaMyfPx8+Pj7YtWtXjfVLRERERIDNZsORI0fQrFkzREVFAQBK8k4DAGRjCLzC+8ByMR2Wgso/nAsFjlOFUXoGQ63PMBgMDfqk5/rSt29f9O3bF5GRkZAkCd27d0ebNm1c15WqMGGYPHkybr31VsTFxWHnzp2YMWMGhg4dCgBYunQp7r//fnTp0gWTJk2q/qsp9eqrr3q8gMTERPTq1ct1DLkgCOjVqxcOHTpUY/0SEREREXD8+HGYzWZ069YNgiAAcCQMaq9AQG2AV3gfAEBR+v7KA5UmDLJogaDSQqX3rdVxsySpfEVFRZgxYwYGDBiAiRMnIjs7G3FxcRg7dixyc3MVx6kwYVCpVJg7dy5+++03/Prrr5g6darr3r333ovPP/8cb775JrRabfVeSalDhw7hq6++wty5c92uZ2dnIzjYPSsNCAjgGRBERERENejy5cs4deoUIiIi4O/v77pekncaOv/WAACNTzC0zSOumTA4Zxjs9svQeAe7ko/aIhqMkMxmyFVYyNsUrFixAvn5+dizZw90Oh0AYN68eQCAJUuWKI4jyEr3xqpFFosFo0ePxvTp0zF06FC8+uqrOHjwIDZu3IhHHnkEPXr0cDsR79///jf279/vWhR9tS1btmDLli0AHG9KfZxKXVxcDL1eX2PtaiMm+264fTeGMbJv9t3Q2rFv9s2+q9fu4MGDMJlM6Nu375UvhO0WqA8uhxQ6AKaAm6HX6yFmfgfx7E+w9ZgJaMo//VneuR2ak8eAQc0ga31hb/9Arb4W8fd9UH33DaxPzUUxoPi9rEnFxcXo2bNnnfdbmVtvvRXvvPMOOnfujJ49e+K///0vwsPDkZKSgocffhi///67skByA7BmzRp5ypQpbo8feughWZb/P3t3Hh5nVTZ+/PvMPpmZrM3WpFmapEvovhdaWloogiKUxYoKiuIr8iqLrwrKi4qK8ioVEESt/kAQBKSspShQS1soLaX7mmbft0kmmWT25Xl+f6QJTZM0k2Qmk7Tnc11zXe3Mec45k6bJ3M85930U5Zvf/Kby0EMP9Wr/m9/8Rrn11ltD6nv//v3hm+gQHD9+PKztItGnGHvsjj0e5ijGFmOPtXZibDG2GHv47aqrq5U333xTqaqq6vWaq/mkUvLMOsVR/UlPf56WcqXkmXWKveT9Afs8+cD/KlU/+aFS+o+vKc0fPx2WOZ6Nfdt/lJKvrlN81uYhfS3DKVqfOc9m/vz5SnFxsaIoijJnzhylurpaURRFOXTokLJgwYKQ+4nMGd1DtGnTJqxWa09U5vf7CQaDzJ07l8997nNYrdZe7VtaWkhOTo7GVAVBEARBEM4pfr+f48ePk5iY2HP+VjdfayUAusQccFh7/qwxTcBZ/Qmx+Sv77VPqsKPJmojPXxXxhGfoymEARB7DGVavXs369ev5zW9+0/NcZWUlv/jFL1i5cmXI/QyYwzCa/v73v/PWW2/x+uuv8/rrr3PDDTcwY8YMXn/9dWbPns2BAwd6ThVUFIUDBw4wZ86cKM9aEARBEARh/CsvL8fv9/dKdO7mtVWi0lvQxCT1PCdJEqZJC3A1HEEOePv0pygKdLQjJRgBIn7KM3TlMACiUtIZ7r//frRaLYsXL8btdnP11VdzxRVXEB8fz3333RdyP2NihSEjI6PX32NjYzEYDGRnZ5OUlMT69ev5xS9+wZe+9CX++c9/4nA4wlrOVRAEQRAE4XzU1tZGfX09K1asIDY2ts/r3rZK9AnZfQIJ06T52Iv+jav+MOashb1ek10uJJ8PyayBTiJ+yjOcscKgj4n4eOOF2Wzm8ccfp6amhrKyMgKBALm5ueTlDXLw3hnGxArD2ZjNZv785z9z4MAB1q5dy/79+9mwYYM4tE0QBEEQBGGEjh8/jl6vZ+rUqX1eU+QA3rbqngpJpzOmTkelM/VbLSlga+n6g2F0zmCA01cY3BEfa7yRZZny8nLKy8tpaGigubl5yH2MiRWGM51eEQlg1qxZvPbaa1GajSAIgiAIwrmntbUVm81GVlYWGk3fj4Q+ex3IgX4DBkmlISZjLs7a/ShyEEml7nkt0NoVMCgqLyq9BZU28hWLulcYgi4nJCQN0vr8UVVVxde//nXa2trIyclBURQqKyvJzs7miSeeIDMzM6R+xvwKgyAIgiAIghB+xcXF6PV60tPT+329+4RnfWIugfZ21Jtfp/OjD5B9PgDMWQuQvZ14mk/2us7f0hUwBIOOUdmOBKetMIik517uuece5s6dywcffMCrr77Ka6+9xvbt28nMzOT+++8PuR8RMAiCIAiCIJxn2traaGlpIS8vD7Va3W8br60SSaNHG5tO+7ubUR09RNOGP1B59+20vPB3NKoUUGlwnLEtKWBrQVGrCXjaRmU7EoBKpwONRgQMZzh+/Dj//d//jcn06XkZsbGx3H333ezfvz/kfkTAIAiCIAiCcJ4pLi5Gp9ORk5MzYBuvrRJdfBZKIEDHjm3IBdOY+MP7iCmcQfuWf1N7/49RuQw4Sj/sWXUACLS2gsVCwNkyagEDgNoYI3IYzjBnzhx27drV5/l9+/Yxffr0kPsZkzkMgiAIgiAIQmS0t7fT3NzMtGnTBlxdUBQZn60Sc+4yHJ/sRnZ0Is9bSEzhTGIKZxKwt9P5wXbaDr9F0NBBxf/eRtz81cSuXE2g1YqSZEZS2kelpGo3VUyMWGEAHnvssZ4/Z2Zm8uCDD7J7925mzpyJSqWiuLiYt99+m5tvvjnkPkXAIAiCIAiCcB4pKSlBq9WSm5s7YJuAoxnZ70afmIP9pffQpk3En/1pe01cPAmfuxrzJcupeuV2NPkJtL+zmfZ/bQKVCmZ3tR2tHAboymMQAQPs3dt7i9i8efNoa2tjx44dPc/NmTOHI0eOhNynCBgEQRAEQRDOEx0dHTQ2NjJ16tR+KyN16054lrw6vGUlTPjSzbjOOIsBQGtKxJBcgCIHyfndH+jYsQ3Hxztxp8aBb3RKqnZTGY3ILueojTdW/f3vfw97nyJgEARBEARBOE+UlJSg0WjOuroApwIGSYX7k6NIOj2Wi1bQUF3db1vTpAW07n8BRRsk8fNrSfz8Wk6+9wdoVKExjV6JU1WMCX+DfdTGGy+2bdtGeXk5vtPyTKDrxO5vfetbIfUhAgZBEARBEITzQGdnJ/X19RQUFKDVas/a1murRGuZiOPtXViWLkN9WpWdM5kmLaR1/ws4a/YRP+1yACRvOxpTEpJq9D5qqmJiCIotSb386Ec/YtOmTeTl5WEw9D4PQwQMgiAIgiAIQi8lJSWo1WomT548aFuvrQqNkoDi8xG3as1Z2+riJqKNnYizZm9PwIC3bVTzF+DUliQRMPTyzjvv8Oijj3LppZeOqB9RVlUQBEEQBOEc53Q6qa+vJycnB51Od9a2AXc7QXcb/soWDPkF6LNzBu3fNGkB7sbjBH1dOQSSd/TOYOimMsageDwgy6M67liWmppKamrqiPsRKwyCIAiCIAjnuJKSElQqFXl5eYO27U54lus7iPvCTSH1b8paQPuxN3HVHsCUtRAp4EQzyisM6piu057xeUd13LHsgQce4IEHHuArX/kK6enpqFS91woWLlwYUj8iYBAEQRAEQTiHuVwuamtryc3NRa/XD9q+p0ISZkwLFoc0hmFCPmpDHM6avegSs4HRrZAEXSsMAHhFwNDt2LFjnDhxgnvvvbfPa5IkceLEiZD6EQGDIAiCIAjCOay0tBRJkkJaXQDwNJ4EN8RduArVINuXukmSCtOk+XRWfIQ5ZykQxYDB4xnVcceyP/7xj9x9993ceOONfZKeh0LkMAiCIAiCIJyj3G43NTU1ZGVlhfyB0dNYDJ0Qd8nQEmVNkxaiBDx0lL4PMKqnPAOoTF0Bg+QVAUM3nU7H6tWrMZlMqNXqPo9QiYBBEARBEAThHFVWVoaiKOTn54fUPujuQFacaM3paJOH9oHfmH4BkkaPq+4gikqL2hA7nCkPm9iS1Nf3vvc9/u///q/nHAZZlns9QiW2JAmCIAiCIJyDvF4vdXV1TJo0CaPRGNI17R+/C4D5gouGPJ5KrSMmYw7Oqo9Bn4DUz8nQkfRpwCBWGLo99thjtLa2sn379n5fFzkMgiAIgiAI57Hq6mpUKlXIqwsAnYc/gHiInXvJsMY0T1qIs+pjFH3CsK4fCVVM95YkscLQ7be//W1Y+hEBgyAIgiAIwjnG6/VSX1/P4sWLMZ3llOZe19TVEHA3ISUY0JgShzVuTMYcUKlR9MO7fiTUMSbQaMQ5DKdZtGhRWPoRAYMgCIIgCEIUBQIBbDYbzc3NIbVvbW0dtG1DQwOyLFNQUBDyPDq2vgcWMCTnDXs7kVpvJvPyn1HR0DGs60dC0mjI/NFPqehwjPrYY9WKFSvO+m+5bdu2kPoRAYMgCIIgCEKUdHZ2smfPHk6ePInNZgvpmpqaGtra2gZtl5qaitlsDqlP2e3G/tEOWCKhTwl9C1N/DMkF0BLa3vhwM+QVQIj78s8Hd911V6+/BwIBampqeO211/q8djYiYBAEQRAEQYiCpqYm9u/fj1qtZsaMGcycOTOk606ePMnUqVMHbVdXVxfyXDp3fQhqD0igT8wJ+TphbFu7dm2/z8+dO5cNGzZw3XXXhdSPCBgEQRAEQRBGWUlJCUVFRcTFxbFo0SIqKipISAgtUTguLi6kto2NjaFNRlGwb30PTc4EArSIgOE8MHnyZI4dOxZyexEwCIIgCIIgjJJgMMjBgwepr68nIyOD2bNnD+kArUiQ6mrw1VZjnF9I0ONEa0mN6nyE8Nm1a1ef55xOJ08//fSQ8ltEwCAIgiAIgjAK3G43n3zyCXa7nenTpw+p3GkkqfZ/gsoYg6z3ozdmIUniXN9zxS233NLnOa1Wy8yZM/nlL38Zcj8iYBAEQRAEQYgwm83G3r17CQaDLFq0iNTUsXEXP2BvRzp5HPPqNXS2byM2f2W0pySEUVFRUVj6ESGkIAiCIAhCBFVXV7Nr1y40Gg3Lly8fM8ECQOcH25FkGdPiOSgBj8hfOAfIshzyI1RihUEQBEEQBCECFEWhpKQESZJITk5m/vz5aLXaaE+rF9exw8hp6chqFyAqJJ0LCgsLQzpHQ5Ikjh8/HlKfImAQBEEQBEEIgc/no7q6mvr6esrLywetQhQIBKitrWXFihUhf4gbTUowiKesFGXmbLy2SlCp0cVlRntawgg9++yzA77W1NTEo48+Sl1dHVdeeWXIfYqAQRAEQRAE4SxsNhuVlZU9pycnJiZiNpuJjY0d9NrCwkIuuOCCUZjl0HlrqlF8XpSMSXhtJejjJyGpxUfD8W7RokV9npNlmWeffZYnnniC5ORknn76aZYuXRpyn+K7QhAEQRAE4Qx+v5+6ujoqKyvp7OxEq9WSnZ1NTk4OZrOZEydOMH369EH7OTGGTx32lBYDoEzMxFf9HjEZ80Z1/OLOj6iTKpjO4F9HYfgOHDjAAw88QGVlJbfddhvf+MY3hrw1TgQMgiAIgiAIp9jtdiorK6mrqyMYDBIXF8fs2bPJyMiI+nkJ4eYpLUadkIjfqCLo6Ri1/IWgEuCDlmc5bH8XSa1iSeAKzJrEURn7fNLe3s5vf/tbXn31VVauXMkf/vAHMjIyhtWXCBgEQRAEQYgYr9dLdXU1RUVF+Hy+QduXl5eH1G4obUNtd+TIEUpLS1Gr1WRkZJCdnU18fHxIcxmPPKXFGPOn4HV15WKMRsDgCth5u/FR6j0nKLSs5HjnNo51vM/ixOsiPvb55OWXX2b9+vWYTCaeeOIJVq9ePaL+RMAgCIIgCELYtbS0UFVVRUNDA4qiYLPZMJvNg14XaruhtA21nSzLzJgxg8zMzDFXzSjcAm02Ai1WDJddgeSqBiT0idkRHbPZU85bjetxBztYk/odplmW0WSv4ah9CwsSrkYtiY+l4fDFL36RQ4cOMXHiRG655Rba2trYuHFjv22vv/76kPoU/zKCIAiCIISF3++npqaGqqoqHA4HWq2W3NxccnJyqK6uDnnPfyjthtI2lHYBWyul27eRm5sb0tjjnae0BABDwRSko3vQWlJRaY0RG6+o8wP+07wBozqWGzJ+Toqh6+ucKS/kUPBFKpz7yTf3TdYVhq65uZn09HQUReGpp54asJ0kSSJgEARBEARhdLS3t1NZWUl9fT3BYJCEhATmzp1Lenr6uNn3b9v0Gpr3t+BbtBhdxrlfWtRTWoyk1aLPykHa04g+fVpExpGVIDtb/8GB9s1kGKZzRdpdxGjiel5PVgqwaCZwxP6uCBjCZOvWrWHvUwQMgiAIwrgnyzJWq5X6+npMJtOg7cPdLhJ9joexA4EAe/fuJT4+HrVaTWZmJjk5OSGVGx1r3EVdB1jZt75H8k23RHk2kecuLUafm4cc9CD52tEnhn9lxR3s5N+Nj1HjPsrsuM+wbMJX+mw7klAxI3Y1u2wvYfPVkagbXlKuEFkiYBAEQRDGLbfbTVVVFdXV1Xi9XmpqanC5XINeF+52kehzvIwtyzIzZ84kMzMTjWZ8fqwI2NvxN9SjaDR07NxB0g03ojIYoj2tiJF9PrxVFcSvuQJvWxUAujAnPHfSyEs1T+IItHFpym0Uxq4csO0Fsav42LaRo/YtXJz81bDOQwiP8fk/WxAEQThvKYqC1WqlsrKS5uZmFEUhNTWV7OxsJk2axLRpg2+tKCoqCmu7SPQ5XsauqKggJycnpLZjlftk11kJ8orVSP95h85dHxJ3yaVRnlXkeKsqIBDAkD+164RnwlshqdTxMXs0T2FULFyf+TPSDPlnbR+jiaPAvITjndtZmrQOrercDdbGKxEwCIIgCOOCz+ejurqaqqoqXC4Xer2e/Px8srOzMRq7kjVtNhuGEO4M6/X6sLaLRJ/jZexzgafoBJLBgDxvEcaSk9i3vkvsytVIkhTtqUVE94FthvwCnEf2omjNaIxxg1wVGp/s4Z2mJ7AoKVw/6X5MmtDK0s6MW8NJx05Odn7EjLhVYZmLED4iYBAEQRDCxufz4XQ66ezsHLRtqO3a2trYv38/DQ0NyLJMUlIS06dPJy0tDZVKFY5pC+c5d9FxjAVT8alUxK26DOvf/tJ1RkHB1GhPLSI8pcVoU9PQxMbhdzSh6MN3aFqd+xhBxU+evCrkYAEg3TCFCbosDtvf5YLYS87ZYG28EgGDIAiCMCKKotDS0kJlZSVNTU1UV1fT0NAw6HU1NTUht5s8eTLZ2dnk5OSEXKNfEEIR6LDjq6/FctFy7IBl6UW0vvQc9v+8e04GDIqi4CkpJmbmbAACnc1gDF+icZXrMBpJR4KSNaTrJEliZtwa3rf+lUZvKemGgrDNSRg5ETAIgiBEkSIHIRBaculY4/P5emruO51OdDodeXl5WCwWCgoG/2UfGxsbUrv4+HguvPDCcVOeUxhfPKfyF4xTC8EfQKU3YFm2AvvW9wh86WY0seHZqjNWBKzNBDvsGPIKUIIBAi4bSvyMsPVf7TpEhrEQlW/oHzGnWpbxYcvzHLa/M+yAwRN0oKAM61phYCJgEARBiCL7yXfQHH4JedqfUWnHx55xm81GVVUV9fX1yLJMYmIiU6dOJT09vWeL0MSJEwftx263h9xOBAtCpLiLjiPp9ehzcqGk6zCzuEsuw/7ev+nY8T6Jn7smyjMMr578hYIp+J1WQEHRh7516Gzs/mba/Y3MilsD9qFfr1MZmB57MUft/2H5hJuJUQ+tPG+Du5hX63/BdOkqCikc+gSEAYmAQRAEIYq8tiqkoBePtZiYibOiPZ0BBQIB6urqaG5upqOjA41GQ1ZWFtnZ2eOy5r4gdOvKX5iGdFpJWN3EDIzTL6Dj/S0kXPl5pHMoV8ZTWoJkMKLLmIS78UjXk/qEsPRd7ToMQFbMbJroGFYfM+Mu47D9HY53vM+ChKtDvq7T38JbjesxaxJJ8uUNa2xhYOfO/wBBEIRxyO9oBsDddDzKMxlYR0cHW7Zsobi4687krFmzuOyyy5g5c6YIFoRxLdjRga+uFsO06X1ei1u1hkBrC65DB6Iws8hxlxZjyMtHUqnwd3b9/FHCFjAcwqKZQIJ28JXDgSTpMskwFnLUvgVZkUO6xi972NTwMEHFx1XpP0RHzLDHF/onAgZBEIQoCpz6he1uHJsBg6IoHDlyBEmSmDdvHitWrCA7O3vcHtAlCKfrPn/BOK3v9hXT3Pmo4xOwb313tKcVMbLbja+mCkP+FODUDQuVBrSWEfcdVALUuI+SFTNrxBWOZsWtoSNgpcp1cNC2iiLzbtOTtPqq+EzqHeKk6AgRAYMgCEKU9CQcSmo8rWXIfk+0p9RHTU0NNpuNwsJC4uLOreRPQXCfPIGk02PImdznNUmjIW7lalxHDuFvbozC7MLPU1EKioKx4NOAQWtOhjCUMG3ylOGT3WTFjHxr5WTTAmLU8Ryxvzdo249tr1Dm3MNFSV8hxzR3xGML/RMBgyAIQpT0JBwmTAM5iMdaEu0p9eLz+Thx4gSJiYlkZmZGezqCEHbuouMYCqb0yl84XeyKVaBWY9+6ZZRnFhmekmKQJPSTuyoQBRxWtOaUsPRd7TqEhMQk48grLqklDTNiV1PpOojd3zRgu+LOj9jT9gqFlpXMjb9yxOMKAxMBgyAIQpQETuUvyEmzQFKNuTyGEydO4Pf7mTVr5FsMBGGsCXZ24Kut7nc7UjdNQiLmeQvp+GAbss83irOLDE9pMbqMTNQxXXv8/Z1NaMIUMFS5DpGqz8egDs85KRfErUJC4qi9/2CtyVPGe81/JN0wlZUp3xA/oyJMBAyCIAhR0pNwGJOGPil3TAUMNpuN6upqJk+ejMUy8v3NgjDWuIuLgP7zF04Xu+oyZKcDx55dozGtiFFkGU9ZaU/+QtDnRPY50VpGHjB4gg6avOVh2Y7UzaJJYrJpAcc6thGQewdrjoCNtxoeJkYdx2fTvodG0oZtXKF/ImAQBEGIktMTDo2phXhaSpED3mhPqyfR2WAwMGXKlGhPJ2o8ZSVonvoTLS+/gL954G0RwvjkLjqOpNNhyD17CU7jtEK0EzMimvxs37YF9SsvoCiRO3DM31CP7HL2BAzdBRfCsSWp2nUEUMiOmT3ivk43K+4yPHInJY7dPc8FZB+bG9bjk11clf4DYjQit2o0iIBBEAQhSk5PODSmFo6ZPIaKigo6OjqYMWPGeVsNSQkEaH7qz2Bvo/3tN6m65y7qHv4Vjn17UAKBaE9PCAN30QkMBVMHzF/oJkkScasuw1tehqeiLOzz8FubafnHs6hKi/GURe7/v7v7wLaeCklWIFwBwyF0qhhSDeE9/yDTOIME7cSe5GdFUdjS/CeavOWsSf0uE/TZYR1PGJgIGARBEKLk9IRDY8pUkKSob0vyeDycPHmSlJQU0tPTozqXaGr/92Z8dbUEr7qWnPVPkHj1dfjra2l8/HdUfv+7tL7yEv4Wa7SnKQxT0OHoyl+Y2vf8hf5YLrwYSa/HvnXwqj1DoSgK1r8/DZKEotHg2PVhWPs/nae0GJXFgjY1DQC/o2vVTDPCLUmKolDtPswk4wxUUnhPZJckiZlxl9LoLaGDBva2vU6x4yOWJq4jz7wgrGMJZycCBkEQhCjxdzb3JByqdDHoE3Ojfh7DsWPHkGWZmTNnRnUe0eS3NmN78xVM8xei5E9Fk5hE4jXXk/3bx0m/8wfos3Noe+t1qn5wB/W/ewjH/r0owWC0py0Mgfvkia7yooPkL3RTx8RgWbocx+6dBJ2OsM3DufdjXIcPkHTtF1Dyp9K5Z1fEVrA8JcUY8qb0JAcHHFZUOhNqnWlE/dr8dTgCtrBvR+o23bICjaTjuOZNdtleYqr5oiGdAC2EhwgYBEEQoiDocyH7HL22A3yaxxCdaixWq5X6+noKCgqIiTk/T0rtuuP7FKhUJH/5a71ek9RqTHPnM/Hue8h++HESrlqLt7qKxt8/TOX3v4tUXxudSQtD5j55HEmrHTR/4XRxqy5D8fvp/HB7WOYgu11Yn38GXVYOcZd+BrlwJnJnJ65jR8LS/+mCnR34G+sx5n+ak+TvbArbdiQgrAnPp9OrTUy1LKNTaiRVn8fqlG+JikhRIAIGQRCEKOguqXp6hRJjWiHIATwto5/HIMsyR44cwWQykZ+fP+rjjxXOTz7GdfggSWu/gCYxacB22qQJJF37BXLWP0Had/8HxeNBdXDfKM5UGAl30TM7av8AACAASURBVAkM+VOQtKFX19FnZWMomIp963sosjziObS+8k+C9nZSvnYrklqNMjkflclEZwS2JXXnRhgKTgsYHNYRb0cCqHYdJkE7kVht8oj7GsiChGtIl2fz2fT/QaPSRWwcYWAiYBAEQYiC7pKqp9dAN6RM68pjiMK2pNLSUpxOJzNnzkSlOj9/NQRdLqz/eAZ9dg5xl14e0jWSWo15/kL0k/OQzpHTgM91QacDX01VyNuRThe36jL8TY24jx8d0Rw85WXY//MOcasuwzD5VICuVmNeuATn/r3I3vCe+u4pLQG1Gv2pE60VRT5VdGFkAUNA9lHnPhGx1YVucdoUZgSvwaxJjOg4wsDOz98KgiAIUebvZ4VB3Z3HMMqJz06nk5KSEjIyMkhOjtxdwrHO9spLBO3tJH/1m0jqoSVv6rNzwNosKiiNA57ioiHlL5zOvGAxakvsiJKflWAQ6zN/QR0XT+J1X+z1mmXpMhSfF+f+vcPuvz+e0mL0WTmo9HoAgu52kAMjDhjqPUUEFF/E8hfORdXV1dx2220sXLiQiy++mIceegivt6ucdl1dHV//+teZM2cOV1xxBdu3h2f7WziIgEEQBCEKAo7mfhMOjanT8VpLkYPDz2Po/OhDpNrqkNsfPXoUlUpFYeHQP0CdKzzlZdi3vkvcqjUYJg+9NKQ+KxdJlvHVjW4eg6IotL/3L6SiY6MerHirKml97WXo6BjVcUfKVdSVv6AfQv5CN0mrJXbFJTgP7IXWlmGNb9/yDt6qSiZ86eaeE5e7GQq6kuw7d+0cVt/9UQIBPOVlGPILep7zd56qkDTCgKHadRgVGjKMoVWbOt/5fD5uu+02dDodL774Ig8//DBbtmzhkUceQVEUbr/9duLj49m4cSNr167ljjvuoKamJtrTBuD8LLAtCIIQZQNtBzCmFtJ+fDNea2lXTsMQdezcQfNfnkRtjCG49ELU5rOf0my1WrHb7VxwwQUYDIYhj3cu6H3Hd92w+tBn5wDgra7s+fNoCFibaXn+GTRA5fvvYVm+krgVq9CmpEZkPNnrwfHxLuzbtuAt7zqTQDVvISxeHJHxIsFzKn9BpRveXvjYSy7DvnULmuefwpWYQEzhjJCvDdhaaX3tn8TMnI154ZI+r0sqFeYlF9H+77cIdnSgjo0d1hxP562tRvF5e85fgNPOYLCMbEWxynWYicapaFXn58+OoTp8+DDV1dW8/PLLmEwm8vLyuPPOO3nooYdYsWIFFRUVPP/885jNZvLz8/noo4/YuHEjd999d7SnLlYYBEEQoqGrpGrfX9aG1GnA8M5j8JSW0Pz0hq59yl4PLS89f9b2gUCAkpISYmNjyc3NHfJ454ruO77JX/5qnzu+odKmpqFotXirK8M7uUF0HyQWvGQNhrz8rkPmfnhn1yFze8N3yJy3tgbr35+m8q7baX7qz8huNxNuvJmY2fNQRWF1Y7iCTife6sqQz1/ojzZpApk/+SXEmKl/+Fe0v/N2yCc0W5//GwSDJN/09QEr/ViWLgNZpnPPrmHP8XSekt4HtkH3CoOE1jT8gMERsNHqqxbbkYZg8uTJbNiwAZPp05VlSZLw+XwcOnSIwsJCzGZzz2vz58/n4MGD0ZhqH2KFQRAEYZQpikzAYcU0aX6f19Q6E/rE7K7E5yH8Hva3ttDw+4fRJCQy8fs/ovTvT9P5wTZil63o98NRIBBg//79eL1eZs2add6WKey54ztrLqYFw79LLqlUKClpeKsqwze5EHgrykCjQZ6/iPQZMwjYWunY8T4dO7bS+MTvUMcnELt8JbErVqGdMLQPh7LPh+OT3XS8vwVPaTGSRotp4WLiVq7GMGUakiShSU7BdWg/ruNHMM2aG6F3GT4jyV84nS4tncBN3yB+x39oeeFZvFUVJH/tm2ddtXAe2Idz3yckXv/Fs64A6SdlocvMwrH7Q+JDTL4/G09pMZrERLRJE3qeCzisaGISkNShV4k6U42rq/xrpBOezyWJiYlceOGFPX+XZZnnnnuO+fPnY7VaSUnpveqclJREY+PYKKYgAgZBEIRRFnS3o8h+tOZkgkEHilSCokzr+dBuSC2ko/g95KAPlXrwbROy10Pj7x9G9vmYdM/9qM0W5AtXoC8tpvmZv5L18/9D0nz6497lcrFnzx4cDgdTpkwhISEhYu91rLM+/zeQZZJvumXEQZOSmob3+FEUWUYapUpTnopy9FnZ+E8laXcfMpdw1Vpchw9i37aFtrdep+2t14mZORtVUgrt1RWD9qsqLqLyiWPITifatHSSvngTscsu7rPFzTRrDorBQOeuneMiYHCfPI6k0aKfHIbSwXo9ad+5m7ZNr2F77WV89XWkffd7vT6Yd5O9HqzPPY1uYiYJn/ncoF1bll5E68sv4G9uGvH2Mk9pca/VBejaEqmxjKzfKtchYtRxTNBljaifc4ndbufaa6/t+fu6detYt27gbY6//vWvOXHiBBs3buTpp59Ge0aZX51Oh9/vj9h8h0IEDIIgCKPs9JKq1rY3kDWbqG2qJCPlW6hUemLSCrGfeBtvSxnG1LNvnVBkmaa/PIm3uor0u36ILiOz6wWdjuSbvk7Do7+h7V+bSLxqLQAtLS3s3dtVgWXJkiVYrdbIvdExrvuOb9INN6JNHnk9eiUlDWX/J/itzehS08Iww0HGk2W8leXELlvBmWcPdx8yZ5o7H39rCx3bt9Kx433Uhw8SSqquSqUiZuESYleuxjitcMBgStJokKcW4tz/CbLXg0o/tveyu4tOoM/LH3b+wpkklYrEq69Dn5VN45//QO3Pfkzad+7us6pne20jgdYWMn78s17B+0DMiy+k9eUX6Ny9k8TPXzto+wF1dhBobcFw+ZW9nvY7molJDz334kyKIlPtOkKOaQ6SJHa3d4uLi+PVV18dtJ2iKDz44IO88MILPPbYYxQUFKDX63E4ev9P9vl8Yya3TAQMgiAIo+z0kqqujjdAMWB37MLrqycr/Xtd5zGcymMYLGCwvfEKzr17SFr3FUyze9/hNc2Zh2nBItrefBXL4qXUOt0cO3YMs9nMwoULMZlM52/A4PN13fHNnET85Z8NS5dKanpX11WVoxIw+BrqULzeQav9dB8yl3jN9RQdOsSUKVPO2h6guKyMtFmhbTVRLpiFcmg/zv17u/bfj1FBlwtvVQUJI/kAPgDT3AVM+skvafj9w9T95pdMuPFm4lav6Qq0mhtpf/dtYi9ehXHKtJD6005IxjBlGp27PiThqrXDXv2STlXtOn2FQQ76CLra0JqHv8Jg9VbikTvJEvkLQybLMvfddx+bNm3ikUce4dJLLwUgNTWVoqKiXm1bWlrGTKlrERYKgiCMsq5TniU0MUl4vBVI8kyy03+IL9BMWc19uIOV6BKyBz3ArXPPLtreeAXLshXEf6b/D73JX/4askrNtod+xZEjR0hJSWHZsmW9ku7OR6qd2wi0tpD81VtDuuMbkgnJoFbjDWHLTzh0VykyhFgeVFKpwGBAbTIN+mAIJyArmVlhLwUaCeHKXxiIbmIGmT95kJgZs2h57umu5HCfD/U7m1GbzCR94UtD6s+ydBn+hvoR5cVIdTVdJWSzcnqeCzhaAKXfoguhqnIdAiDLOHPYfZyvHnroITZt2sTjjz/OmjVrep6fPXs2RUVFuFyunuf27dvHnDlzojHNPkTAIAiCMMr8nc1oYhLwyVZkxQPKRCymueRlPohGE0dl/a+Qsw24rSdRgv3vX/VUltP81z9iyJ9CyldvHfAOZDDGRNn0GZQfOkCG28nChQvRDPEDsqIoeGtrIMRKMGOdt7oK1Se7iV2xCmPB1PB1rNGgm5g5aonP3opyJIMRbfrEURlvQJKEecmFuI4eIjiGz2RwFx0HjQZDXsHgjYdJHRND+p0/IOGqtXR+sI2qe+5CVV9L0he/gvq06jehMC9cAmo1jt0fDns+Ul0N+ty8XkHxpyucw19hqHIdJlmfQ4wmbth9nI8OHjzIM888wx133MGMGTOwWq09j0WLFjFx4kTuvfdeSkpK2LBhA4cOHeKGG26I9rQBETAIgiCMOr+jGY05Bben6w6xpGQAoNelMznzF1hM83HEFOHLDeCyFvW5PtDeRsNjD6O2xJL23e8hDXA3uKOjgw8++IBg/jTmzZlD4kfbkU+7exUK2eOh8Q+PUvO/P0A6cXSI73Tskd0umv70OBiNJN0wtDu+odBn54xawOCpKMOQkztqCdZnE+5SoJHgPnkCQ15B2PIXBiKpVCRdt460/74L2eVEzs7FcuHyIfejNpsxzZpD5+6PUGR5yNfLPh9SU0OfhOfAqRwq7TBXGHyym0ZPMVlGsR1pqN555x0A1q9fz7Jly3o9FEXhySefxGazce211/LGG2/wxBNPkJmZGeVZd4n+TxlBEITzjN/RjNaSgttbhkoyAEk9r6lVRrLS7mZC7NXIKVBrfxKf/7Q0Vb+fht8/jOx0kn7nD9DExfc7RnNzMx9++CGKorBs+XJmfvdugh12bK+8FPo8mxup/eX9OPftQWUyodr/yXDf8pigyDKNf3ocX1MDwc9fP+Q7vqHQZ2UT7LATaG8Le9+nUwIBvDVVwzqtOBL0k7LRZU7CsXuMbkvyevFWlo/o/IWhMi9cQs7DjxO87sZh5yCYly4j2N7WtToyRN7KciRZxljQt0KSpNaiNvb/s2Mwte5jyARFOdVhuOeeezh58mS/D41GQ3Z2Ns899xxHjhxh8+bNLFs2dnKCRMAgCIIwij5NOOxaYTDoc5HO+FEsSSrSUm7EWDMBv2SnrPY+nO4TKIqC+t+b8JaXkfqt/0afld2nf0VRKCoq4tixY8TFxXHxxRcTFxeHIWcycZdejv399/CUlw46T9fRw9Q8cB+BNhsT/+dHJH7+OlR1NaN+zkA4tb78Aq5DB0j+8tdQsiNzUJ3+VL+R/jp5a6ogEAg5f2E0WJYsw1NajN/aHO2p9CHVVkc0f2EgakvskPJBzmSaPQ/JYKBz19C3JXlKTx3YltdPSVVz8rCrG1W5DqOV9Ew0hnE7nzDmiYBBCBvF7z9n9jhHk6Io4PFEexpjmux2jdvvte6EQ7UpCY+3CqM+D+zt+Jub+jzMqkL0h1WoZB0Vdb+g9oPfIB0/QuK16zDPX9S370CAvXv3UlJSQnp6OkuXLkWv1/e8nnTtF1DHxdP89F9QgsF+56coCm3/2kT9+l+jSUhi0k9/RcyMWViWXYyi0WDf+m6kvjQjJvs9oPS/daPjw+20/2sTcavXELfqsojNoTuIi3jAcOqEZ33u5IiOMxTmJV0HUo3F5GeppjLi+QuRoNLrMc9fhHPvx8g+35Cu9ZSWoCQkoo6N7fV8wNE8ogpJ1a7DZBgvQC2JQpvnkzHzr11dXc2vfvUr9u3bh9Fo5Morr+Tuu+9Gr9dTV1fH/fffz/79+0lPT+fee+9lxYoV0Z6ycIa6//s5aq8P5Se/HHBPtTAw2e2ic9eH2LdtRVNThet/fkTMDLHkeya/tZnq+36AavlKKBzdu4Xh0J1wqMQoKK4Aykk72r8+RlV/jSeANAtUf7KiWgX2ggOo12SScNU1fZqefhjbjBkz8Hg8qM7Y264yxpD85a/R+IdHaH/3XyRc0fsAKdnrpfnpDTh278S0YDGpt34b1aka4GqTGaVwJp27dpL0hS93VdIZQxRZpvqN76GyFEDhBb1ec5ecpPlvf8FYOIMJN94c0XmojDFoU1IjXinJU1GOymJBM8TTmyOppxTo7g9JuOqaMXV6uFRdhWFyHqrTAujxwrL0Ijp37sB16ADmhaGdRu48dADX0cMoU/puwfJ3NmNIHry0bn9ctGH3NzIn7jPDul4Yv8bECoPP5+O2225Dp9Px4osv8vDDD7NlyxYeeeQRFEXh9ttvJz4+no0bN7J27VruuOMOampqoj1t4TS+xno8pSWoaqpofuavXXfJhZB4KspofmoDFXd9G+uzT3U9aYnF+uz/G/IdpfNB26bXUXxeVLs+QPaOv5WY7oRDv7armkzwaCtKXDwp37y9z2PC528BwLxiERmxt6ENTCC4wAX0/v/V0tLCjh078Hg8LF68mNzcgbfbmBYsImb2XGyvvYy/9dPcCH+Llbpf/RTHxx+ReP0XSfvvu3qChW7BuQtRfF46P9oRji9FWHnbqgi4bKia9xJwtvY872+x0vj479AmTSDt9rvCV0L1LHRZkU989laUYcjNG1MfyuFUKdD6OnzVldGeSg/Z7UZqrMc4dfzdYAAwTp+BOjaOzhCqJSmKQttbb9Dw6G/QpqUTXL6y1+tBrwPZ7xr2Kc+tqq7tjCJ/4fwzJgKGw4cPU11dza9//Wvy8vJYtGgRd955J5s2bWL37t1UVFTw85//nPz8fP7rv/6LuXPnsnHjxmhPWziNc/8+AOTZ8+j8cDvt/94c5RmNbbLbjX3bFmp++iNqH7iPzt07MS9aSuZPfsmkB35N8Mqr8Tc30bbptWhPdUzxW5vp2Lkdw5SpSC4X9q1boj2lIfM7mpFUWrxyI2qVGd+RSpTsXGIvurjPI/7iy9HFZyHr3cRdtJK0zJtBZcPu+Kinv4qKCnbv3o3BYGD58uWDHvIjSRLJX7kFUGh57mkAXCeOUfPAj/E3N5N+1w9J/NwAd4fT0tFPzsf+n/fG3E0BT9OppFBFpu3oG0BXhaeGxx5G8ftJv/MHEUly7o8+O4eAtZngECtShUr2evDV1Y6ZhOfTmRcuBrV6WHvuI8VdchIpCvkL4SKp1ZgXX4jz0AGCzjPP9P6U7PHQ9ORjtG58AfPipWTe9wDE9i572lNSdZgVklqlcmI1ycRr04d1vTB+jYmAYfLkyWzYsKHXQUKSJOHz+Th06BCFhYWYT/tBP3/+fA4ePBiNqQoDcO7/BH12DsHLP4d54RJa//k8zkMHoj2tsaepgea//ZWKu7+N9W9/RQkGmfCVW8h59I+kfuM2DJPzkSQJJTsXy9JltL39Jr76umjPesxo2/wGSBJpt92BnD2Z9n9tQvZ6oz2tIfE7mtFYknF7y9GTieJ0IWdMGrC9Ma0Qj7UYRQ4Qa1oASgrNtlcJBgMcOnSIo0ePDvkwNm1yConXXI/zwD7Um1+n/rcPorbEkvnTX/Y5LfpMcavX4G+sx33i2JDed6S5G4+jtaSiTJiDvWQrfkcLTX/5A77aalK/fQe6iRmjNhd9dg4Avpp+N5qNmLeyAhQFwxjKX+imNluImTn8UqCR4C46jqJSYcgfX/kLp7MsXQaBAI69e/p93d/cRO0vf4Jj78ckrfsyqd/6br/brwI9AcPQVxiCSgCbVE5WzKwxt7IlRN6YCBgSExO58MILe/4uyzLPPfcc8+fPx2q1kpKS0qt9UlISjY2Noz1NYQABezueshJMcxeAJJFy67fRZ+XQ+Mff4zt1LP1wdH70IZX/8x2kqtE5NTXSWl56Hu3fNtC5czvm+YvI+N+fM+kX/0f8pZejjonp0z7pxptQGQxii9cp/hYrHR9sI+7iVWgSk5CXrSDYYcf+/vhaZQg4mtFYkvD6atC0d/27K2cLGFKnowS8eFrLkSQVquAKHI4a3tu6gerqagoKCoZ1GFv8mivRZWahOnoI0+y5TLr/F+jSBj8AzLxwCSqTeUwlPyuKjLu5CGNqIcGJy0FRaHzzdzj3fcKEL96EadbonpSqz+qulBSZn12eivKuccbgCgN07bkfbinQcFMUpWsvf3oGKr1h8AvGKH3uZLSpaTj6Wbnpqmj2YwJtrUz8n3tJuOKqAT/Q+0dwBkOjp4Sg5CMrZvTPX3C4jhHUPIY/YBv1sYUukjIGP4k8+OCD/POf/2Tjxo08/fTTeL1e1q9f3/P6xo0befLJJ9m6dWu/17/00ku89FJXrfF7770Xi8UyKvM+ncfjwWAY/IdTqO0i0We4xpYO7Ufz7034b/kWntj4rnYdHWie/QtotQRuvhWMMSH3hyyj2rYF9Se7UCQJJTaO4DduH7Q03Vj+mkv1taj//v8ITJ8Ba64EgzGk/qSD+9C88xaBK69Gmdn/h56x+n0R7naqd95CdfgAgW/dAbFxeDweTK//E6mlmcC37hzw+2OsvW/N/ocIZOQSzCxCszsX9YeNOP7ruxiMA3xP+J1oDz5MMGMV8sTltLRYKSr7HX5/gOkF3yMttf+tASHNsc1GoKIMzalgP9T3o3r/PVSf7CLw7bvAEjtgu1D7G3E7VyPaY38mkLsWt3kKphMvovJWIdtnEFxzbb/vLdLfF5on1qPk5hH8bN8E9ZGOrX7zFaTaagK33x22Pofbrt+2fj+aJx5GmXYBwSs+P7pjn0GqKEPzz+fwrLoc9cIlozp2uNupPtyGaud2At++G49Oh0GvR/XJLlTbtkBSMoFr10FC4ln7VFW+hartOIG5PxzyHItV71Kt2sPKwA/QMHjyeLjet4KCrP5/oKpDCn4WlbwgbGOHm8fjYe7cs6/SjldjpkoSdN0JePDBB3nhhRd47LHHKCgoQK/X43D03rPn8/nO+o2wbt061q1bB8CBAweYPn30DmrpduLEiZDGDbVdJPoM19j1/96EL2kCeRevpKioqKedZ0Iidb/+ObHvbmbi93/cK9lwoP6Cjk4a//h73MeOEHfpZ4iZNYeG3z1EUskJkq5bF5b3M9pfcyUYpOYffyOYkEjg8s8xfc7gdzu7+1OmTqWuvATfjq1kX/HZrpreEZjjcNqN5tj+1haqjhwkdsUqUhYv6Wk76Us3U/frB0hvqCX+8itHZY4j6TPodVDxiRdzmgk7oK9wo586Dbssn/U0z5rjqagddVgsFrZv305a+iWkZm1ner6BeEv/8wh5jgmJQ37f/qQEqj7ZRUpdNUlrbxj+2GFq1368ghYgb95qynYfRLWrDhZAwpKJJA9QSSvS3xf1efkE2mxk9XPtSMeuetqKbso00k97baz9HGhauATn/r3kfyev52Tl0f6/qCgKda+8QCAxCfW8hWPm58Bw2/kS4qneuZ00WzONGdkk7PhPV0Wz+YtI/ebtfYoU9NdnXe1ryHHpTDpjnMHGVhSFPdV/ItGby8zpoa3Yhet9dzoPUtXQtTXXEmslKz28/47hdODAubsVe0xsSYKubUg//vGPefHFF3nkkUe49NJLAUhNTcVqtfZq29LSMmhinzA6ZI8H97EjmOYt7LMEasgrIOXr/4W76DjW5/426LYab00VNQ/ch/vkCVK+cRvJX/kapllzkAtnjuu9/O3v/gtfTRXJX/4aDLGkn6RSkfzVW5HdLlr++Y/ITHAcaNvclcSa8Lned2uNU6djnH4BbW+/OS4qSnUnHAZ0DjSqBIJljRRLGvbs2cO2bdsGfOyvVdj+wQfs37cXi8XCZy7/LyYkTcba9irKAOcORJI2JY2YmbPp2L4VJRAY9fHP5G46gcacguRToX7tRTS6eMzZF9JR9j4BV2RPXB6IPisHX31d1/k0YRR0OPA3N42pA9v6Y1l6EbLbhetw9PIN3ceO4CktJuFzV4NaHbV5hIsuLR19bh4dO95H8/xTXRXNrl1H2nfu7jdY6E/XGQwpgzc8g81Xi93fRIoyuoe1KYpCs+0VtJoJSPIsHO6jKEr/Z8gIkTVmVhgeeughNm3axOOPP84ll1zS8/zs2bP585//jMvlIubUPu99+/YxJ4S7tGOdp7wM9cZ/4PvGbaOakBdOrqOHUQJ+TPP6XyK0XLgcb10t7ZvfQJc5ifhLL++3nWPPbpr++kdUMTFk/uinvQ7XCa5ag6aynOZn/krGvT8ZV8lW/tYWbK+9TMzseZjmL4SioiH3oc+cRPzln6X97TeJXbYC49TRv2sSTf7WFjp2vE/s8kvQJk3o83ri1ddR99DP6di2hfg1/a8yDMZ5cD/qf29Gzrun525oJHQnHPpoQedLpqKjhjadgczMTBYsGHiZ3Zkm0byrioz8VBzEYjAYSUm4lpqm39Ph2E2c5cIBr42UuFWX0fDob3Ee2Is5hK0ew+VrakT9zAaqVf1/4FNQ8Bc0oOo0UPOTe8HnI/2en6CK1+Go2U3bsTdJXvjViM1vIPrsHAgG8dbVYMgJX3Kyt/LUgW2Tx17C8+l6SoHu+hDzgr6HDEaaoijY3ngFTWIiscsvob508NPNxwPL0oto+cezoNOTfuf3Mc2ZH/K1iizjd1oxZQ3936PcuReACfLoBgwO92Hc3hImJt9KY0M7snwYl6cUkzhletSNiRWGgwcP8swzz3DHHXcwY8YMrFZrz2PRokVMnDiRe++9l5KSEjZs2MChQ4e44Ya+y+Djjf3991CVlVDz8//FeWBvtKczLM79n6AymTBOmTZgm6Tr1hEzZz4t/3gG17EjvV5TZJnWjS/Q+OSj6LOymfSzX/c9idNkJukLN+I5eYLOD7dH4m1ETHfZyuSbbhlRoJN49XVoJiR3JUCPgTu6o6l985ugKF13CfthnFaIYep02t7eNKxVBm9VBY1PPoaq6BjOvR+PdLpn5e+0omjAL7fSVuyhtKOT7LlzKSgoID09fcBHzozlpMQbiZWbew5jizUvQa/NoDlKqwwxs+aiSZqAfet7ER3H9trLSK0taCdm9PvQZCaCWkajT8M4vZDgtV9EPykLrSUNy+TldBRvicoqQ3elpHCfx+ApP5XwnD22A4ZPS4HuJ+h0jvr47hNH8ZScJOGz15xTB4lalq0k/vLPErj51iEFCwABtw3kIFrL0FcYyp17SdXnY2D0ckIVRcFqewWtJon42JWgTAYkHK7DozYH4VNjImB45513AFi/fj3Lli3r9VAUhSeffBKbzca1117LG2+8wRNPPHHW/b7jQXflBjkrB11aOg2PPYztjVfGTBm6UCjBIM5D+zHNnod0luVeSaUi7VvfQTcxg8Y/PIqvsQGAoNNJw6O/oe2tN4hduZqMe3+CJj6+3z5iL16FIX8KLS89T7CzIyLvaYRjRQAAIABJREFUJ9wc+z7BeWAfiddcj3aEp7Gq9HqSb/o6/vo62t7eFKYZjn0BWyv2HVuJXbbirF/DxGuuJ9jeRsf2/gshDNh/ezsNjz2M2mxGiU+IeOUfv6MJ4g24XAGOvl9BYuYk5i0a/ORWjTEOXVwm7qZPq85IkorkxGvx+mrpcPZfajGSJJWKuEsuw33iWMS2C/rq63B8/BHyvIWkf+fufh+mS+YBkP7lu0m7/S6U7E8PrUuYuRZFDtJ2bPT/z2gmpKAyGvGFOWDwVpShTUsfcydt98ey9CIIBCIeiJ9JURRsr7+COiGR2IsvGfyCcUQdE8OEG2+CflZbBxPoqZA0tIDBEbDR5C1jsmnwZONwcrqP4PIUMyHhalSSBgkjRn0+DtehUZ2H0GVMBAz33HMPJ0+e7Peh0WjIzs7mueee48iRI2zevJlly5ZFe8oj5q+vI9hmQy6cScaPf4blwuXYXnuZxiceQXa7oz29kLiLi5CdTkzzFg7aVmU0kn7nD0CtouHR3yLV1lD78/twHTtC8ldvJeVr3zzrCazjbS+/7HbT8vzT6DKziF9zRVj6NM2ei2nBYto2vYq/+fwoK9zWs7rQt9LM6WKmX9C1yrD5jZBXGWSfj4bH1xN0OEi/8/vI8xfhKS2JWClMgIDDit+i4+jhVuSyNhYvX446xL3VxrRC3M0n4bTVhDjzUvTaiTTbXonKKoPl4pWg0URslcG26TUkrQ550cBbrtxNx9GYk/stE6mLTcOSu6xrlcHdHpE5DkRSqdBNysZbHd7vJ09F2Zgtp3omfW4e2tQ0OnfvHNVx3SeO4SkuIuGznz+nVhdGqjuHSjPEgKF7O1KeefDf9eHSnbug0SSSEPtp0GeOmYXbW0YgOPABdkJkjImA4XzkOtoVISu5XRUkUr55OxO+dDPOg/uo/cX9PXfhxzLn/k+QtFpiZoZ2RLw2OYX073wPv7UJzfNPIbvdZNxzP3GXXBrS9fpJWcRf/lk6P9iG++SJkUw94lpff5lAWxvJX7v1rIHQUCV/+aug1tD87FPn/NkMgTYbHdu3EnvRCrTJg/+CS7z6uq5Vhh2DrzIoioL1mb/iLSsh9Zu3o8/ORZ4xB0mnw/6fyG2x8XU0crymBZ/LxIwYCwkXzAj5WkPqdJSAB1XTx8iBrqDo01WGmqisMmhi4zAvXELnzu3IHk9Y+/Y11uPYvZO4VZdBTP930xVFxt3Udf7CQBJmrUWR/bRHYZVBn52Dt7o6bCvHgTYbwfa2MXlgW38kScK85CLcRccJtI1e/XzbG6+gjk8g9uJVozbmeOB3NIMkoTUNbXWi3LmPeG0aCdrBz2kJF6f7KC7PSZITrkElfRr0WWJmAQpO99FRm4vQRQQMUeI6chht+sSeY9slSSJ+zZVM/P6PCXTYqX3gPpyHx255LkVRcO7fi7Fw5pAOwzFOnU7qN29HLpjGpJ/96qy5D/0ZD3v5vVUV2N/9F7ErVmPMnxLWvjUJiSRdtw730cM4Pt4V1r7Hmra330RRZBKuOvvqQjfj9AswTJlG2+Y3B61M0/6vt+jcuYPEtTdgXnhqS5DBgGXJMjp3fxiRPdeKLFNUUk5Th50LMrNJMOgxDOH7I2bibHQJ2ahr3qVy47ex7vkbvvZa4swXotNOpNkWnVyGuFWXIbvddO7ue6DUSLS9+RqSVkv8lVcN2MbXXovs7cSYOnAhAF1sOpbcZdhPvkfAbQ/rHAejz8pB8Xnxh+kG0Fg/sK0/lqXLQFHo3P3RqIznOnEMz8kTJHz26ogWMBiPAo5mNDFJSOrQb2J5gy5qXUeZbOpbCTFSelYX1L1XFwCMhnxUqhixLSkKRMAQBbLPh/vkcWJm9D0tMaZwBpN++iCaCck0PNK1v38s3kn2VVcRaG3BPEB1pLOxLLmI4LXr0CQmDfnasb6XX5Flmv/2V9SWWJJu+GJExohbvQZ97mRa/vFMVJIJR0OgzUbH+//BcuHykFYXoCvoTrzmOoJtNjp2vD9gO+fBfbS+/A/Mi5aS8Plre70Wu+oyFJ+Pzp3hT66vKjtGlbWdtEwtmUos6vgENEPYh6zWxTDpcw8RmPpVYibOxl78HtVvfp+6dx7AEijE66umwzn6xRMM+VPQTcrG/p93w/azytfYQOeuD4lbdRmaUzdV+tOd02FMG3iFAaK3yqA/lU/hra4MS3/eijJQqdBn5YSlv9HQXQrUEeaAciBt3asLK8Tqwpn8nUMvqVrlOohMcFTzF5zuY7g8RSQnfL7X6gKAJKkxG2fQ6To0Jj8bnctEwBAFnuIiFL+fmBn9b+XRJqeQ+b8/x7xoKa0bX6DpyceQveFd7h8p54G9IEnEzJk36mOP5b389q3v4a0oY8KNN6E2mSMyRlc+xzcJdnbQ+sqLERkj2tre3oQiB0m8au2QrjNOn4GhYCptm1/vd5XBW1tD458eR5+TS8o3but7dkhOLvq8Auxb3wvrLyO73c6BPTuJTdZRMCUO+XgbhvwpQ75jJ0kSSmwOaRffQe71fyRp3pcJuu04dm5B8kg01P4Fb3tN2OYd6pzi/j975xkfR3nu7Wtmey/qXbbcu3EvGONCAAcImE4gObQQIHAIJOeEGgiEnFASQihJCCEQIIReHIotd2NjXHCVLVvFaitpV9uLts28H9Y2NpasVbXJ6+v30xdp5plHu7Ozz/3c9//+z19IrL6O9v2VfTKm58OD2YVzOs8uAESad6M0ZHa5CFKb8zGWzsJXObBZBnV+ASiVfdYpqb2mCnVBEWI3/VxONKYZs1KvgcvZ5bG9IbJnN5E9u7Gde96p7EIHxIPOHukXdAoLudqhXR/cR6SyCzZs5o6DPqN+HImEm2i8acDmdIpTAcMJIbxzGyiV6EZ0nkYXNRpybvoJGZdeRXDTFzT86n44iboDBbdsQjtkGEpLx12N+puTsZY/4XHjfvuf6EaPxTh9Vr9eS1s6CMuCs/GvWIZY/gmuN1/v8kfY130PiBNBwuvBv3IZpllzUGXndOtcQRCwX7CYhNuNf83RWYak34/j979F1OrIu+2uThddlnkLiTc7iFT0TY1sNBpl48aNiIkQoybYEUURaa8X3dDelasptGZsY86j+HtPUrDwHgzhwSSUAWrX/oyGTx9E8PefePubmKbPRtTp+kT8HGtpJrB+LeYzFxz3+SLLMpGWiuPqF47EPu5C5EQM7+6Pej3HdBGUSjQFRX2SYZBlmWhN9Ulv2NYRxqkzQRAQd/SviZv7/bdRWKyY56ani+tvZFkmeOALBPcu5OSJLaGVEjGSEU+3Wqom5QS14a0MMpyGKAzMcjEY3kW4vSKVXRA7DvqM+nEHjz1VljSQnDTGbf8/Ed65A92wEV3W/guCgO3c89AUF+N4+kkUn36EPGXqCTcui7ucxOpqybj0qhM2h0O1/K5XXyL4xXpM0wfeuOqbuF5/GTmeIOua6wbkPcq46FLa9+2lfesmvF1dT5JQiCKJOXNRWm39Prfe4Pn4Q+RkEnua2oVvohs9Fu2QYal2vaen6l/lRALHM78j6fNS8IsHUNrsnZ5vnDId1+uv4Ctfin7U2B7N4RCSJLFp0ybi8TjjyzIJaxQoEhkICRfasr7RtwiCiD5vLCW5o6is/W8YFie+oxVFyyt4jEmso77b7/ejqNVimnUGvpXLSFxxda/G8nz4LoJCge2c8497XMx3UL/QRTnSIdSWAoyDZuLb+xm20cfPXPQlmpJSgls2Ictyr96HhLMFKRQ86Q3bOkJptWKcPI3gxs9py8nBfuElCGLfLkAjeyuIVOwi84prTorsgpSI4dzwFwLVa1ACtY2fYSo7A8uw+ahMuQM+n0Qwld3pTklSQ2QXMSlC2QCWIzk9h7IL8zs9Rq3KRq3KIxjeRqa1Z2adp+g+pwKGASbhcRNrqCPj0ivTPkc/Zjz2Cy+l7Z+vENq08WuR5gnikMlcZ+7OA4Vl/lkEPl+N67W/ox97rB5kIBGq9xPcuAH7hZegzhmYLwNRp6Pol7+moqKCkSOP7/4cb22h9n/+G8+SD1LZmZOVYBD/8qWYZsxGld2z1/GQlqHp8Ufxr10FOfk4X36R9r0V5Nz0E7SDhxz3fFGtxjxnLt5PlpBwt/VIa3OIyspKlEolkyZNQqx+m6BJQOPRgVJ12NirrxAEBdkZF9PY+hy5C26jZfVS2ja/StRdS/aMGxGV/VvGYpm3EN+yTwisXgk9DIbirc0EPl+DZcF3OvVkOUSk+aB+4TiC529iH3sRwZrP8exeAroJPZpjd1EXlyKtXkHS4+7VvXTIsO3bmGEAyLnxFvzRKJ4P3yVaV0vOj36CQq/vs/Hd77+NwmzBnGbXvf4kHnLRvPJJom3V2CdcQmtYjSFSiXf3Ery7PkSXNxbLsPkYiiYjiAOzDDvcUrUbGYbq4CaUgoYiXe82TtIlFNlNKLKb3MxrOs0uHMKoH4/HvxxJinV57Cn6hlMlSQNMeGfKobAjwfPxsC48Gzk7F+erLyFFwv0ws/QJbdmEKr8AdW7eCZ3HyVLLL0WjKD5bgio3H9u5x98VPVGosnOQR4/Hv3IZCe/Au96mi7hxHXIiga2b2oVvohs9Dk3ZUDwfvYe4cT3+1cuxnXchpjRLxSxzF4As4+umEdyR1NTU4HA4GDp0KPn5+UTbm0ApQ20UzaDB/dIf3mqajVqVg9P/AYmyi7FPvIxgzec0fPwA8WD/1o+r8wvQjRyNb8VS6GEbUfeH76WyC2l8jtpbKlDqM7pVk622FmAsnYFvzycQH5jnaF85PkdrqhBUKtQFRb2f1AlAUKlInn0eWddcS3jndhoeuqfPDP8ilXuI7N6J9dzzT3h2IdJSQcOSu4n5HeSdeRf2cYuRLUPIO/NOShf/EfuES4j7mmhe9Xtq37qFti2vEz9oqNafxIMtQPoZBlmWqA5tpkQ/HuUALchT2gUrdnPXQZ9JPw5ZjhFu3zsAMzsFnAoYBpzwzu0ozBbURcXdOk9QKEh+57skfV7a3vlXP82ua5LBIJG9FT3qjtQfHFnLLzQ2nJA5eD58B8HnJesH153UJkHJmacjJ5N4Ph7YTjHxNhfCjq/wr1l5/J9VyxG3bsI08/ReB6OpLMPFJNpcKFYuxXDaFOwXXpL2+arsHPRjJ+BfWd7t9r2yLLN792527txJZmYmw4cPByAmpxYFyZ1t3Wqn2h0EQUGW7ULao7XI4i7sYy8kb97PSARbqV9yN+HmXf1y3UNY5i0k0eZCqNrX7XPjrS0E1q3GPHd+l2VzKf3CbnS5o7pd5mMfdxFyIobYPDBtPjVFJSAIvdYxtNdUoS4u7VNfl85IxsIIvurDfh99hiBgmXcWBT+/Fykcpv6hewlt3dzrYQ9lF9L19OkPZFnGt+czGj97GFFtoOjchzEUHf09qdTbsY9bTMlFT5M37+doMofg2fUBB969naZljyL4a/t0Tq5oHXFSRrCJoBNBoUahPbbrWCLhQxaOFhC3RmsIJd097o4Ubq9Cpi3t40ORCkKRXWTazksrY2DQjUJAcUrHMICcKkkaQGRJIrxrB4ZxE3pUyyrnF2A5cyG+ZZ9imjUHbenA17KGt28FScIw8eQIGCBVyx/a/AXyh2+TnDoNhdk8YNcO7diGZ8kHSGMmoB85esCu2yNsdkwzZuNfsQzbOed3WfLRF0jRdhp//UuUbS7S2kNTKNL2XegK/Zhx6EaOJuRxk3PjLd2umbbMW4jj978ltGUTxqnT0zonHo+zZcsWWltbKS0tRRRFBEFASsRIaEIgiQiOJNqL+idgALCaTsfl+YAo71BV/xU28wLyz7mPllV/pGnpI2ROvhrLiLP7RddgmDgZZUYm8r/fIzx4ULcyqZ6P3kMQ08suxH2NJNv93SpHOoTaWohx0CwCNWtx7yjENuZ7/arxELVaVDl5vcowyJJE9EDNYU1OfxL11tO84gmUgWZqa9/BNPh0LMMWoLYW9tk1dMNHUvjAIzQ//SSOpx7DfuEl2M67sEe6BqGhnsiuHWRcdtUJ6x4lJ+M4v3gR//4V6AsmknP6T1CoOy+3EkQRQ+FpGApPIx5y4d+3Av++5SgcO0lOOB2Fpvcd9oIJN2803INBkcUYecLhlqod3esNrc8iKbfR0uYm274YQRCpDm1CQKTUMLFb15XlJM2uf9Dm+xhUUNO4HJt5AWbjlGNapB5JKrtgSSu7ACCKWvS6EQTC2xl4Rcj/n5wKGAaQ6IEapGCg2+VIR2K/+HKCmzfifOkFCu9/uM+FY10R3PIlCqvtpDIOEnU6cm/9KfWPPIDjmd9R8LN7BmQXLtbUSMuzT6EuLCK08Jx+v15fYDvvQgKfr8H78Ydk9lKcmg7ud98i0eYisfgKyqbP6PL4/fX1qHP7xk1UEATy7/wFe/buRdSmby54CP24CSgzs/At/yytgCEYDLJx40bC4TDjxo2jpKSEioqUI3ki6EQygLJdjyAF0Q7pvxaFgqBgcOGv2LP/TSR5J03OPyMKOizTpiPuM+P68u9E3TVkTb8eUdG3pQaCUknB/95P7W8foemJ35Bx6ZVYz+5adB13tuJftxrLmQuPK0g/RLr+C52RPeMG/D4f7q1vEHXXkjPzx4iq7t8j6aIpKe1Vy9lYUyNyNFXK1p8E676kZe0ziEoNidLzseLCV7kM355P0GYPxzJsAYaSaX1y36gyMim4+5c4X/oL7nffTOkarr8ZUafr1jjiulUoTOaUI/gJIBF241j5O6KufdjGXoh9wiUI3egopDJkkjHhEgyFp9Hw73sIHvgCy7DOBb/pstnzAUk5jl9sYodvKbZga4f6hWi8ObVLL9twet6mPVpLYe4tVIW+JF83Ap3ClPY1E0k/9c1PEYrswm45G487Tiy+g4aWP6BwmrCZ52Izz0OjPjqDLAt1hCI7yc24GlFMP+gz6sfR0vY68YQHlfLkbubxn8CpkqQBJLwjpV/Qjem5gEih15N55TVEa6vxlX/aV1NLCykWI7xjG4YJkwY8UOkK7eAhJM+9gPa9FTgHoNVqMhjE8dRjCEolebf/DE6CrhzpoM7NwzRjNr4VS0n4vP16rWjdAbyf/RvznHnIQ4ahysru8gdd34kgIbWApYf3qiCKWM5cQGTPbmJdlLu1traydu1a4vE4M2bMoKSk5Ki/xwLNyEYQnSqUWdn93o5YoTAgStMYUvQYgwoexGycjDe0Fl9eBclpdjyB1TR8+gCJUPolA+miysom8f1rMU6ZRtsbr9Lyp6eRotHjnuP58D0QBGyL0tMARZp3o9TbURq713b3EKJSQ3LwhWRMvppQ3UYaPr6PeKD/PF00JaUk2lwkg8EenR+tqQL6T/AsyxJtX71J88onUFsKKFr0a+SsiQf9Pp4lY1LK76Nl7TPUvnkzzi9fJubrvf5AVKvJvuFmMq+8htDWzTT86j5iLem/D5H9lYi1VVjPOa/LroP9gRCsp37J3cS8deSecQcZEy/rVrBwJJqMwcjaDAI1vTe4CyU87PSXM8o0F7s0mPXufxKItnSoX/D4lgEiYuK/yMv8IYHwVnbU/S/uWEO3uiNForVU1d9NuL2SguybyM/6IaI0m2Elv6ck/xcYdCNxeZewr+4Oahp/hS+wHklOlXtK4ioUCgt2S/dKyoz61OZrMLy9W+edomecyjAMIOFd29GUlB7XuTQdjFNnEFizira3/4Vx8rS0duT6gsjuncjR6AnvjtQZ8qix2GQJz0fvoS4qwtpPu/5yIkHzs78n7nJS8L/3o8rMAqerX67VH9jOv5DA+rV4P/6IzMu/3y/XkCWJ1r+/gMJgJOPSK2mrH1gzsb7CPOdM3O++hW/5UrKu/q8Oj6mqqqKiogKTycTUqVPRdbBDGglVpp62+yPohgxc6ZogCBh0wzHohpOb+QO8gdV4fMuIDgF/oobwtjuQNWcSjii6HktUI5NmIK5Wk/Pj29GUDKLtrX8Sa2oi7yc/7dC1O5VdWIVl7vy0nmWH/RfyxvaulEgQsI1chMZaTPPqp6hfcg+5c25Dn9/3HdcOOTNH62rRjxqT1jmyLCPThizLtNdUIep0qPqh0YQUC9Oy9hlCDZsxlc05IvOUKiJUaM3YRp+HddQiIs278Vcuw7f3U3wV/0abMxLLsAUg9zwAFgQB61nnoi4spvnZp2h48B6E+d8hour6nnS//QayTo9l/sBnF/z7lqPY83cEQwaFC+5BY+udGF0QBCT7WNqbVhIPuVAZ0neB/yabPR8gyUmm2C9kn3sfX4jPs7swQcE3AgZJiuHxr8RsmELIayLDOhWNuog1jt8CkC2kl+3xBj6nsfV5FKKRQQUPoNd+3YlOEERM+vGY9OOJJ9x4/Cvx+JdT3/IUCpcFs+E0EKvJsl7VrewCgFZdjEJhIRjehs18RrfOPUX3ORUwDBBSJEz7/kqsZ3+312MJgkDWNddSd89dOF99ibxbf9r7CaZBaOsmBK3upK7Vt190KbHGBlyvvYw6L79X5V+d4Xr9FSK7d5J93U3ohg7v8/H7G3VuPqbps/AtX4r13PN6HcB2hH9lOdGqfWTfcDMKY/84Xg8ECpMZ49Tp+NetJuOSK44qbZIkiW3bttHQ0EBeXh4TJ05Eoeh4kROJ1aSetpXtaBf1n37heCgVRjKt55JhOYdw+x5crg8IiFtB/JTqxvSylYJiNJI0GFHsejdXEARsiy5AXVRMy3NPU//gPeTefPsxC2bPkvcPZhcuSGsOcX8TyXZfj8uRvok+fyxFix7BseIJmsp/Q8ZpV/a5d8XhgOFA+gGD2/cpkuol9te9i6BuRzO0uM8zuzF/E44VjxP3N5M55YdYRnyn0/875fcxBn3eGBIRH4Gqlfgqy2lZ8zRi3mwY1bvvBf2oMRQ98AiOPzyB9OE7NH74TlrnSXMXDGh2QU4mcG16Gd/ez5DNZRSd84s+0RwASBljUTStJFjzObYxPeu4F0p42OFfxgjT6VhUORhwM1F7Bpsyy2lWhjgytPMF15OUgtgtZxE6mHA26kcTVBdiitXhdv4ZZdJLlq1jnY8sS7S0vY7L+yF67XCKcu9Apew8eFQp7WTbLyLL9j2C4W24/cvw+FeCbMBu6X7QJwgiRv1YgqFtyLLU4+zOKdLjVMAwQIQrdkMyiX7MuD4ZT5Wdg+38i3C//QahrzZjmDCpT8btFEkitHUzhnHjT+pOQIIokvOjW2l45H6an3mKwvsfRp3XNzXxAL7lS/GVf4r17EWYT5/bZ+MONLbzLyKwYV0qy3BZ3xrwJbxe2t58Hd3I0Zhmnt6nY58ILPPOIvD5GgLr1x7uwhKNRlm3bh1er5fhw4czbNjxg4Co5ICEgNAmox1yYoPMVNZhJIaikcQiLVRt/TvqcC2JsBtRqUGXNxZDwUSU39jhjET30dr2FtUN91OcdxdqVXrtGQ3jJlL4wCM4/vA4TY//mszLv49l4TmpBYjPi3/NSsxnzEvbo6An/gtdoTLlUHjOQ7R+/nzKu6KthuyZP+oz7wqF2YzCZk+7U5IkxXB63gM5B1HQEpncSLvkQWh5Bpt5AXrtsF4HNKGGLbSseRpEJfkL70Gfm/6CX6mzYBtzAdbR59G67nn8NWuJei7o9S67Kiubwvt+RWX5UooKuxZZCwoFB+SBMzJNRLw0r/o97a17sI4+D6duQp8FCwBo7WgyhxCoWdfjgGGz58NUdsH2dWvqUfERVITLWW9cQZl0PqqDO/lu32doVAUYdKOAPQCEk36ao9VMtl6AJeGi1f0G7dEaCnJuRnHERkEyGaS+5WmC4W3YzQvJzfoBopDeklIQREyGiZgME4kn3OzbV5nWJkRHmPTj8QXW0h6tRaf99pkafps4FY4NEJGd2xE0mj7dkbadcx7q/EKcr/wNKdreZ+N2hNDUSNLvO6m6I3WGqNWSd/vPEJRKHL//LclQz+qGv0m4YhfOV19CP27CCXW57gvUefkYp83EV/4ZSb+/T8d2/fNlpHhswByv+xtN2RA0JaX4ln+GLMt4vV42b95MIBBgypQpXQYLAHGFD0VIiajVoi48efroq3U5YDuPwfOfoWjqfZiMp9G+ayttn/wF35p3oSWAQTsSk2E82faLEZNXEUu0UVV/N8HwjvSvk5tH0X0PY5gwCddrL9P6wnNIsRjihlS9drrZBUj1uVfobH3uliuqtOTMuZ2MiVcQrF3f594VmuJSYml2SnL7l5FIehGTZ1OQuBb1n8EUG4M/uImaxgfYX/9z2ryfkEyGuj8RWca9410cyx9DZcqhaNGvuxUsHIkgiGRO/j4oNDg3vIAs98x/40hEtRq5dDCGseO7/NGPGtNjjVJ3aXdV0bDkbqJt1eScfhuZk66CftjRNg2aTcxzgKi3+2Wc4YSXnf5ljDDNxqr++vMhB92MqYaA5OZLTypzE2mvIhKtwm5ZeNRzuja0BRmZMtM0CnNuITfjavyhL6luuI9oPKUvaY/WU9VwD6HwTvKzbiA/+7q0g4VvolLaEeh5ltt40FQucKq9ar9zKmAYIMI7t6EbMbpPu/cISiVZP7iORJsL93tv99m4HV5r/x5QKNCP616LtROFKjOL3NvuJO5y0vzsU8jJZK/Gi7c20/zH36HKySXnpttOGtG3LMvQQ4G3/fyLkOMxPJ981GfzCe/cRnDD56lSlD7M7JxIBEHAPO8sYvV17F+7mnXr1iEIArNnzyY3t+tFa1KKIWliCC4B7eAhJ829cySCIKDPHU3unNspXfwsGaddSTLioWXtH6l96xZcm14h5mtCkIdQVvgISqWV2qZHcXn/nXaDgVQ3szuwX3gJgXWraXzkfsTtWzHPORNVRnr12l35L8hyMn2dRQcIgoBt7AXkzf/5Ye8KwV/T4/GORFNSSszR2KUAXJJiuDwfoteORJBLidZUIbZCfu4NDB/0HPlZNyIKKhyul9hT+2MaWp4jGNqFnGgjGnIc/ydYj1j1Ju6tb2COC6NPAAAgAElEQVQsnUHB2Q+iMmb16v9SaM0kCxfS7tyLf//KXo11suKvWk3jJ78EQaTwnIcwDZrZb9cyls4AQSRY3X3x82bvhyTl+FHZBUi5PGfHzIw0zWGL5yPaovW0+ZYiChqspjlHHVsV+hKTMpMsdSmCIJBpW0Rp/t0kEh6q6+9BEldR3XAvkhRlUMH92C297+jUG5RKK1p16Snh8wBwqiRpAIi3NhNvbcFyVt+LcHXDR2I6fS7eT5dgmjk7ZRLUD4j79qIbMQqFwdAv4/cHuqHDyf7hDbT+9Xlcr73cqWi1K5LhME2/fwyAvNt/hkLft518ekqocRut655FiQov52Iqm9Ot9Lg6vwDjtBn4yj/Fds53UZh6518hxWI4X34RVU5ut3aMvw0Yp81gw7N/pOX1Vxny/R9SWFiIOU2/j0hwD4gg1Mf6zbCtL0mVm5yPdfR3iTh24du3DG/FJ3h3L0HMn4N6xE0MLvwVjS3P0ux6mfZoDflZN6RltiSIIvYLFqMpLqH5T88AYPtu+r4b8YCDZMR7VDmSLMtEolW4fcvwBdeDOBHonb7BUDCRwkWP4FjxOIq9L9MU3IFl2Hz0BRMRxK7FuB2hKSkFWSbWUHfc4zz+5SSSHgpzbqU+kDJsU5jMKDMyU4aElnnYLfOItNfg9i/DG1iLN7AKdLDP0fU8hELIHHw59lEX9FkGUM6cgDayj7bNr2IonIRS1/e6qBOBLCVxbf4HvoqP0R0MqBXa/vX5Ueos6PPGEqhZh70bXZfCCS87fEsZbpqN9RttS+PBVpTGLGZnfp+a0BaWt/6ZkdEabOa5KBRff5/FpXbqwtsZY55/1L1h1I+lrOgRDjieICqtRKseQnHeT1EpB6bhSlcY9eNweZeQlCIoxO615T1F+px8W13/gYR3piLfvtIvfJPMy65CNBhofekFZKn3KeFvEmtqRHC3fSvKkb6J+fS5WM9ehK/8U3zLl3Z/AEmi5fk/EG9pJvfWO1DnnHiLGFmW8ez8AMfy36DQmpEVGlybXqb2zR/TsvYZIq170971tZ+/GDkWw/PJkl7Py/Phu8RbW8j6wfWI35I2s+kQj8fZtG07zsJiMhyNTB41EnU3/r9QIFW6IzbwrQgYDiEIIvr8seSdcQelFz+DqewMFE2rcax4HBIyRbl3kG2/FG9gDdWNvyQWT79TmGHiZIof+g3JK36QdnYBjtAv5I4iKUVw+5ZSVf8LqhvuxRdcj0aVhyxuINy+v9v/7zdRm/MoOudXSHmnE3XX4FjxOAfe+QltX73Zo3a0RwqfOyOlXXgfvXbkwbryVEtVzaCyYxb3Ou0gCrJvIDd6IapKEN1DsSanHffHnJyAbBQI2auhF5mYYxAEsqddj5Rop23zP/pu3BNIst1P07Jf46v4GMvIc8hf8It+DxYOYRw0i0TIRXtr+t4dW7wfdZhdAEgEW1EZc9ApzMzKvApHdB9NJI4RGteFd5CU4x26O6tVOZQVPoSQWMyggvtPmmABDrVXTRKK9K+T/f/vnMowDADhHdtRZmahyun7lngACqOJzMu+T+sLz+FftRxyC/p0/NCWTQAYJvazsLqfyLj0KmJNjThffQlVXj7diZPFlcsIb/+KrGuuOym6Q0nxdlrX/4lg7XqMJdPJnnkTe/fXUJKjx1e5jEDNWgLVa1BbCzEPXYBp8OzjZh3U+QUYp0z/OstgTN+k50hiTY14/v0Bphmz0+4C820gFAqxceNGQqEQ0y6/EuGZJwmuXQVl6WuRwu37IQ44QVvWf4Zt/YlSZyV75k1443rC9Z/R8O97yTvzLrLtF6HVlNDQ/EeqGu6mOPcODLr0xMiq7BzkwuJuzSPSvBvsRpyRj/A51yHJUbTqYvKyrsVqnA0CVFTdTlPrC5QVPYIg9CwbcAhRrUcqnEfp/B8Rqt+Cf185nu3v4NnxDvqC01JZh/wJaZWZKTOzEA2GlPA5r2NB79fZhVtSAUIsRqypEcPkaR0eL8sSwb0rMeiGEzBdTuHwrl/7XXtfxB/6jFb3W+RkXNrl8emithZgG30+nh3vYio7A33et/c5EHXX4ljxOMmIj+xZN2Mum9P1SX2IsXgKzg1qAjVr0eWM6PL4cMLHdt9ShplmYVN/oxRUlogHXRhLUuaTI41z2OJ8kSo5yexvmJ1Vh75EIxrI13V8TVHUIspj0somDiR63TAEQUMwvB1zN7wjTtE9TmUY+hk5kSBcsQv9mPH9KgA1zZqDbsQo2t58HfpI5HuI4NZNSLl53doJPJkQRJGcm25DlZNL8x9/Bx53Wuf516xE8eV6LPPPOmEuokcSD7bS8MkDBGs3kHHaFeTMuf2wO63GXkL29OsYdPFzZM24EUGhwfXlS9S+dTMt654l4qzsVOtgu+Ai5GgUbw+zDLIs0/r3FxC1WjIGwD16oGhtbWXNmjXEYjFmzJjB0ClT0Y0ag3/FMuhGJi+abEIMgtqW/60q6fsmgiAg5UylYOE9JKMBGv59D6GGzZgNkygrehiFaKSm8WHafJ/1SkfQETIx3L5y3JYvaB8RxBtci9k4ncGFv6Ks6P/IsJyFQqFHIeoRk2fTHqulzfdJn11fEJUYS6aSv+AXlFz4FLbR5xN17cex/LccePc23NvfJhE+/nNFEAQ0xaWddkqS5DhOzwfotcMx6FKbE0KLA2S5U8O2iGMH8UAzluFnpf+/SNOxmubi9LyDL/B52uelg23shahMOTi/+CtyMt6nYw8UQttOGj6+H2SJgrN/OeDBAoCo0mEomkywdgNyMtHl8Vu9H5GUY0y1XXTsH2N+kJMoD3owhNt3MUyOkwTWur7OBklI1IS2UmqYiKKHAuYThSioMOpGndIx9DPfrrviW0h71T7k9gj6sf1TjnSIlDfDddTd93MUH75LctToPqm1D+/cRrRqH/Lsub0eS5Ykwo5t+CvLUTp2U709HbMoBQrjYNqzNWgzet4yTaHXk3f7z2h46F6ULz5H9WsvdXmOFAoilQwi84prOj1GliWalv4apauK6u1df5yUoh4v38E0uHt6g7BjJ82rnwIpSd78n2Mo6Fh8Lqq0WIbOwzJ0Hu1tNfj3lROoXkugajUK2ygYdf8x52gKijBOnoZ32ac98gkJrF1F+94Ksv7rxl55OgRrN6Dc8QptkdmYh85HZUqvbWdHSPF2grXr8e9fjtLTkPZ7Iw35P0SVtlMzNsu8s2j+45MIu7bD6K4zTjIxkoIPhQ90ZV3vFH4b0OWOomjRozSvfALH8sexT7gE29jvUVb4MA0tf8ThfBFBMRFJHooo9L4FszfwOZLyTzQ5owgCWKUZ5JVdj0LRSfAlj8Son0hr278wG6ahVvXtRofKlE3GaVdgH38JoYZN+CrLcX/1Ju5tbyMMuhDofJdfU5zqttVRwOnxryCRdFOY8+PDm0uCI+WmrBncccDg27sUhdaCsXgqVKZXhiUgkJ99HbG4g4bW51CrctBpe+YgHY7spcn1ErIwExiJqFSTNe1ampY9imfn+9jHX9yjcbsiGmvG4y8nGN6GJI5Glkf0yYacr3IZyuq30WQPJ/eMO1DqOvYUiEQPUN/8e5JKLxXVXT9bkspEescpzERjd6JR52MaPItg7eeEm7ZhKOo8ux9O+tnm+4xhxpnHZhcAIeoBOPw8bfMtxawwM9E0l83eDxhpOoMi/Wi8Qh3tUqDDcqRvA0b9eAKurcTiLahVPXOAP8XxORUw9DPhndtBFNGN7P/0rDq/gOwfXE/LS3+h4aF7ybvtTtT5PStPkmUZ7ycf0fav11AXFBLqhc9DIuzBv38l/n3lJEIuFFoLsnU4poyuu3Mko0ESdRtpWLIFTcZgzEPnYxo06/DOendQ5+SS/7O7OfDhe1itXTuTijodrWXDj9vZKuLYSaR5J7J1BKacrssrPA27cH35Mm1bXsdYMgPzsPloszrvqS7LMr6Kj3Ft/gcqcx55Z96F2pxeaZs2YxDajOvJnHQVbVvfwLfnE6KeA2hsxwrjbRcsJvjlBryfLoFR3Qhuw2Fcb7yKdujwXvlStLv207L2GVBo8ez6AM/OD9Dnj8M8bD6GwtMQxPQeVVFPHf7KZQSq1yDFI6gsBUj20Vi7cBCWElECVavwVa2mNpLVqRmbYeIktEOHE/lsCe1Tp6Et7SKIFRwggOj6dukXukJlzKTg7Adxbvgz7q/+RdRdS86sH1Ocdxet7jdxet6lpuEhivPu6HGt85GmUMhFZDMR31cfkH3BxZ0HCxxcEGf9F/vq7sLh+jsleXf29N88LoJCibFkOsaS6cT8zThWPIbUsh64pNNzNCWlyPE4tB2t90hlF95Drx2GQff1d4XgaEKZkdlhIB4Pugg1bMY25gIERfcCM1FQUZx3J1X1d3PA8ThlRY90+31y+8pxOF9EJgmKILK86KDuZTzG0pm4d7yHcdBM1Oa+6ZYmywn8oU24feWEIjsAMaVZUXxMY2uE/Kxre1Uqkwi14dr0DyTzYAoW3oeg6PiZk0h4qXP8NmUUJo3BYrV1eNyReNyetI5ze9dS1XAvRTm3Yswfj6gxEahZd9yAYavnIxJyjCn2DrILANGUI5vKmE0s7iIQ2kSm7XyG2hazL7iBFc4XuLL4tziFvSgEFSX6vjc7HQiM+tT3VjC8vUcmcKfomlMBQz8T3rkNbdnQAeusY55zJk2RdpIfvUP9Q/eS+6Nbu609kKJRWv/2Z4Ib1mGYNJWcG25mb033WgvKskTEsQNfZTmh+s0gJ9HljiFz0vcxFE1mT+U+skamV+vs2bGVPFUL/spynBv+gmvzPzANmoVl2AI09tJuzUtbOhhpwTlpX7u1ouK4f0/t8JmJly0ma/TYLsdzmSsoydEd1BusI1C9GrW1CPOw+ZgGn45C/fVCSErEcG54gUD1agxFU8iZfTOiqvsdIESVDvv4i/HuXYZv71Kyp19/zDGawiIMk6fhXfoJDEq/zl6xYilSJEzWD6/vcbvQRNiNY8UTKPRWYkN+yJCyEvz7VuDfv4LmlU+i0NkwD5mLeei8DltASokYwQPr8Vcuo925D0FUYSiZhmXYfLTZI9izZ0+X77csyzgP7GL5+y+hGnk5I0aMYOjQoccEcoJCQe6td1Bz3//geOpxih54BOVxFgKykNohFltAe8Z/TsAAICrVZM+6BY19EK7N/6Dh4ybyzryLnIzLaHOqiArvU1V/N8W5P0Wv697/nkgGaWj+A8HIduyWs/C6piK5VqLUWlClsQBVq7LJti+mpe11/KFN/V7XrDbnYh4yl7bNrxLzOzoN6tUlpQAIrc1H/d7rX0ki4aYw+6aj7jmhuQnNkI4/j/595QCYh/asraVSYaYk7+dUN9xPneMJBhU8kNaCW5ITOJwv4fEvw6gfj8kwCYfzRfyhjViMqTr5zCnXEG78CueGv5K/8N5e7f7H4q24/eWp1yjpQ6XMJNt+KTbzXJQKK7srn8cbWEk01tCrzj3OL18CWSJZ+t1OgwVJjlPX/CSJZIDBBQ9SW9NOflbX3yU+V0Vax3ldI1Fr3+eA4zGy7ZdiKJlGsGo1UjzS4bM/kvSz3fcpw4wzsKs73hwUoh4QRJSGDFo9qfbrdvMClKKaM7Ov4/2mR9ns+QCnuIci3RjU39IuQ2pVHiplJoFTAUO/cUrD0I8kA36itTX91h2pM+TiUop++SjqnFwcTz2G+/230+6eFHc5afz1AwS/+Bz7RZeRe+sdiNpu7ObHg3h2vM+Bd/+bpmWPEmmpwDrqXIq/9zsKzroXY+n0Th/GnaLUYh1xNkXn/ZaCsx/EWDSFQNUq6j/6X+r/fQ/+fSuQ4v1rXNcR8ZCLUMMmzEPOhDR3wAE09lKyp1+f0htMvwFBocK18aVUl6N1z9Pu3AdRH42f/pJA9Wrs4y8hd+4dPQoWDqHQGJEzxqR23mPhDo+xX7AYuT2CuGlDWmNG9uxG3PkV1rO/i6agZ2ZkUiKKY8XjSPEIeWf+HFR6VIZMMiZcQulFT5N35l1o7KV4drzHgXduo6n8/wjVb0KWkhBx4tz4ErVv/ZjWdc+RjAbJmHw1pRc/S+7pt6LLGZnWQkWSJJqamvjCYcDT2sDYwXaGDes866O0WEksvhwpFMLxh8eRYrHjjN4I7SCEVahy+6fpwYlEEASsoxaRP/9uEmEv9UvuIdS4DUEeyeDChxFFDTWND+L2LU97zPZoHVX1dxOK7CI/60bys65FkMXj+i90RKZ1ERp1EQ7n30hK/f98MA2ahQwEjtM/X52bj6BSpbQJBzmUXdBph2LQfb3pkAwGELyeDvULcjKBf99yDAWn9cpHQasppjD3ViLRahpbn++yu1o84aW28Vd4/MvItF5ASd7/YDcvADmDVvc7h43blDorGaddTqR5F8Ga7vsJyCTxBzdS2/QolQdux+X5AJ12CCV5/8Owkj+Qbb8oZfgliIjSmRTn/pRorIGq+rsJR/Z2+3qh+s2E6r7EPm4xaDreAJBlmabWFwi3V1KYczM67aBuX6crBKwMLngQi3Emre43COc2IckxgnVfdnj8Vu8S4nKMqfbFnY8Z9aI0ZCALKVG9SX8aalXqninRj2eYcSYb3W8TEbzf2nIkSD2LjPrxhMI7keWudR+n6D6nMgz9SHjXTpDlAQ8YAFQZmRTc8yDOv/0Z97tvEq07QM71P0bUdb7oDFfsovnZ30MiQd7tP8Mw4bS0riXLEpHmXSltQt1G2mQJXc4oMiZejrF4SrfT5Z0hCAK67OHosoeTOeUaAtWr8VWW07r+T7g2vYJQdDbHqx/ua/yV5SCDedgCWuvTbyl5CFGlxTJsPpZh82lvq8ZfWZ7qclS1EqWgIKZUk3fmXRiK+uYhLmVPQXR9hb96DdYR3znm75qiYgyTphL8cj0N39gB7Yh4SzOyxYr9/E5S4V0gyzKtnz9PtK0mFRjYiqD564yOICowFE3GUDSZeNCJf99y/PtX4ljxOKLagCoWwicqMBZPwzxsPrqcoxeTkpzA6X4bSVFLOKJApz06YxAOhzlw4AB1dXXEYjEUtqFMtDag83wFzD7+5LNzyfnRLTQ//SStf/szOTfe0rGRmNCIGAK1Je8/wvW6M/T5Yyla9GscKx/Hsfw3iAXz0Yy4jrLCR6hveZom559pj9aQm/UDREGJO9bITt8y3KKbEUfUn/uCX9DY8iyiqGdQwQNfZyaiHpJh91H+C10hCEoKsq6nuvEBWt1vkpfZfUF+KLIbSfEWbt9MLKZZx+3xrtTbkU2lBGvWYR9/cYfvt6BQoC4qRtqxjYaHU3qiaJmX+JQ21Mu0NDY/cPhYKZoKcjQdBAzBuo0k232YuyF27gyzYTI5GZfT0vY6GnUR2fZj23JCqttXneNJklKIopzbsZhmfP1/JecQjb2LP7QJi3FqatxhC/BXrca16RX0BRPT1myFIruRlL+nrjmIUmEny3YRNvOZR2lR4lI7lcH1HAhvwySUMdJ4HoNVedQ1P0FN40PkZV2btqGYFG/HufFvqK2FWEcvonnvvg6Pa/MuwRtYRbb94sOZlP5AFDUU5tyKTjOI5rZXEccr8NUvP0Z8HSPMNu+nDDVO7zS7AEDUg8qUTSC4kUTSd8zu++mZ11Ab/opYMswgw7ezE+IhjPrxePzlfdJW+RTHcipg6EfCO7chGowdPvAHAlGtJvvGW9CUDsL1z3/Q8HATubfddYyXgCzL+JZ9iuv1l1Hl5JJ3211pufQm2/3496/Cv6+ceKAZUW1Eyp7KoOmXorb0r8uvQmPEOvJcLCPOob11D65Nr5Cs+wQpfn6P9A3d5dAOn77w0A5f9wOGI9FmDEY7YzCZk79PoGYdLfs3UTTzatTWvmuRKxvy0WSU4d+7FMvwszpc0GRccjkBjwdBo+lyPM2gwUTHTUJM49iO8Ox4l2DtejJOu/K4NboAKmMWGRMvwz5+MaGGLQQPfIEvrmPIzEs77I2eSHipa/4d4fa9IKiobtyKRl2MzTSPWGQ49fWttLa2IggCOTk5lJaW4nQ6yQoq8VUuIzH56i7Np4yTpmK/6DLc77yBpqAI23ePNqtLJAMg+hCDoMnruWD/24LKlE3h2Q/R+vnzBA8so2VNmOyZP6Ik739oafsnLd4P2B/ZSYtowBE9+IWugIbITgp1ow9rH3SaY02hhEAtALqc7rU21uuGYzPPo837MVbTHHSa9IwtZVnG7fsUh+tlEBQ0OXfT7PoHFtMs7OYFne4uSxljidd+SLStGm1mx89961nn4vh4CYJGgyxIREd7ULh1qDw2BM3Xn0mFRoM0ckyH2hff3k9RmXLR53ddBpkOmdbzaY/W0+p+A626APPBRf8hPP6VNDn/ilJhZXDhQ8e8joI8BpVqPU73W5gNkxEEEUEQyZ5+A/VLfkHbltfInnFjl/OQpHYaWp4FVBTn3YVJP/Go1riuaB07/cvYE1hDTIqgEjTEFV+g98icZj2PssKHDwaofzkYoP4QsYuOP+5tb5EIuSg4+8FOtVKB0Baa217FbJxOVkediPqYlMPyd9FqijnQ+Bi+3D2YPZ9jsX3tMF0nricuRzvujHTkWFEPqryhtPmWolJmH671P4RBaWVh9o+paNyEQdm1tu9kxqgbDYgEw9uAgd+o/U/nVMDQX8gy4Z3b0Y8e0+Pa7r5AEASs31mEurCY5mefouHBe8j58W0YxqaETSl33r8SWLsKw8RJ5Nx4C6Kuc72FLMtEWnbjrywnWLcRpATa7OHYx1+MoWQqeyur+j1YOBJBENDljCRr6n/R8PF9+PYuxTbmvH6/7qEdPsvwvq2VFFU6LMMW0JQs6NNg4RCW4Qtp/fx52lsq0OUe64arzs0necmVFKSp8fB1ofHojOCBjbi/+hemwadjHZ3++yWISozFUzEWT8VTUdFhsBBur6LO8QRJKUhhzm00NRiwZTSxa8/7rKz5DbGogM06jlEjzmX40DmHOyC5XC4swxfi2/MJgf0rsY3t2q3adt73iDXV0/b2P1HlF2A87etsUKS9OjXnAOgH9c3C7mRHVGnJmXM7vhUGgrXLifma0J5+FftIslvQEo070CMy1XI2o23n8VrN/7Kh7V9MEQ0EI19hM59JXta1x3RXEgMHUGgtqHrwbMnJuBJ/aBNNrX9hcOFDXTrnSlKMJueLeAMrMRkmEfIupHSQAbdvGd7AGjz+cnSawdjMC7CYZqIQv96gkG2joO5jAjVrOw0YTNNn0WCxUzByJG5fOV7nLkrK7sQ0dcIxx1ZUVBxjghj1HKC9dS8Zk69O2wW4KwRBoCD7xlTnpJZnGHSwy4wsJ2h2/YM23ycYdGMoyr0dpeJYrxYBkSzbRTS2PksgtOlwwKGxl2AdeS7e3R9hKjujy3m0ut8mnnAhJn94WHeSkGLsC65nh38Zze37UAgqhhinMda8gCxNKe/sf4x1ba/RGq1hQfahAPUNXN73aY/VU5R7B6pOFsJR9wG8Ff/GPGQeuuyOvVXao/XUNz+NVlNKYfaP++w1Twejfhwl9js50PAb6l1PE6eNDOt3iUoh6sSNDDVOI0PTeTmoFG9HSISQzWrC7RXkZlzV4fzLjFOISel37TtZUSgM6LVDDrZXPRUw9DWnAob+wuUk6fWgH31y3LT60WMp+uWvcfzhcRxP/oaMS66AjBwaH32QaE0VtgsWY79gcefBTSKMZ/cS/JXlxP1NiGoDlmELMA+bj8bas/r1vkSbNRTJXIZ394dYhi/s9yyDr3IpSmM2+vyT4/1NF2PpTFybXsG397MOA4aBINpWQ8u6Z9BkDiVrxg19Wqrj8a+myfmXwzuhsXYbu3ctRavVIsuLGFa6EJO9GrV2Bwh/o9G5ArtlPhbTLADUlgJ0uaPxVS7FOvq8LoN9QRDIvvYm4i0ttPzpaVT3PoSmKLX7GolWASAGQT/829l5pCcIgkAibzrRMgNftH1Em+sRBETKjFMZphtLwv0uSX85Cc0gSqUJ7I2uoQ6R0VnXYjcvPOZ+kGUZIVCLLi99/cKRKBVG8jKvpqHlGdz+ZWRYOi/jiSfc1DmeIBKtIsu2mGz7YvZ496LXDkWvHUpe5jV4A2tw+8tpcv6ZZtcrWE2zsVkWpHbdlVoMhacRrPmczEnfRxA7bx0tyYmDGZWyg0616eHbuxRBocKcxgK8O4iimuK8u6iqv4c6x2PIXEJt05uEIrvJsC4iN+PK4xrhWU2zcHreodX9DibDlMPvlX38xQQPbMC54S9Q9sNOz2+P1uHy/huraS4BdwltsQZ2+lLZhKgUwqbK5/TMqxlhmoPuiKBlbHIxQ7LGs67tdTyxJhbl3Ulu5hXoNKU0tD6fEt7n/fSY68myROuGF1BojGRMurLDOSWSfg44HkMUNZTk3YUo9iyb2huMGRMwri+ivcBNs/AqkWgN9cpMkkKMqbbOtQsA8ZATgIiuCQEVVvPcAZjxicWoH0+r+y1EOtbqnaLnnAoY+gmxJpVy14/t/IugPdaIJC4l3K5Gpxnc7zXOqqxsCu99iNa/Ps/+da/hGiwwpFlN3k/uxDhpSofnSIkYzi9eRFm9hjY5iTZrKLZZP8ZYMh1R+fXDMxZ34g2sQRJ9JJJFKBUDv1shFZxBsuJFfJVLsXVj1/qbyLJEXXgH9ZGdmDvQREQ9dbS3VJAxqePdmpMZUanGPGQu3opPSIQ9KPVdt/rrSxIRL44Vj6NQG8g7805ERWr3VJITBEKbkMSNhNuV6DRDuvV5SO2Evkqb72MMutEU5d5OU6OXHTvW4na7mTVrFqWlpRgOGqclpTC+wDrcvnKanH+l2fUPZHEsSakUy/CzaF71O8JNWzEUHl0qlZQTrG97g2ZFPY0tqw7/Xro2m9DWerZ/dT8GYRKCSkUwvB1NFEokBQrdwH4eKvyraBOCDKSmB0CSk3zpeY8tyiXE42FMVjujHAny6gMUjBuGZeQ8ksYp1Dc/RWPrc+SKIrUINKuLmNPBQutNvWUAACAASURBVF6WJEL1XyLE/Ohyeh7gWoyz8fhX0dL2OmbDFFTKY+/7UGQv9c1PIklRinPvxGw89pmoUBjIsJ6N3fIdIu2VuP3leAIrcfuXotMMQRJGYSidRqhuI5HmnejzO3/+e/2riSdc5Gdd1+G9Hoi7qBQ/wxIRydOmRPhSLEygeg3G0lnd8nFJF5XSRkneXVQ3/hJZ9RzhdhWFObdgNZ3e5bmCoCDLdiGNrc8RCG3GbExlCESVlqyp/4VjxWOIzetg9LEtxmVZotH5FxSiHrX5TL70/RVvXR0iCoYYpzHGPJ8CXccBo4DAJNv5ZKiL+bTlad6ov5tzcm+nyDQDtTqfOsfj1DQ+COIcEskClIpUVtJfWU7UtY/sWTd3+FpKcoI6x+9IJD0MKrgflTKjuy9nn2EunUNsy6tkLlxEU3AJXyGQLRUdX7sAJIKtyCKE5L1YTDM6zA79p2HUj6PV/SayUA18uzUZJxunAoZ+QqipRp1fiNLe8UMmkfRzoOlRZIWL6obP0WpKsZsXdCms6y2iRovzytF84dyIJEho501l6KCOgwVI1ZkHqlYiZU2mdPqlaGxfew3IcpJAeCtuXznB8FepXypk9tYux2ycht28AL12+ICJPWVjEbq8sXh3fYRl+FlHBTTpEE542eVfyS7/cvyJVgDyFfWM42jxt2/vUgRRhblsbl9NfUAxD1uId/cS/PuWYx9//B2qvkRKxnCseIJkLEjhd36JUmclFm/B7VuOJ7CSZNIHIqnPg7oYm2UBVuNsFIrjtyROJP3UNz9FKLKLDMu5ZNuvoKJiLzU1NWRlZVFUVMTob5isKUQ9dstCbOYFRKJVqXIT/yqqG+6jKPe/Uehs+PYuPSZgqPCvYov3QzSCCX/k6FIReZSOpN+Hy70RDCKSHCOqgerpSeqb/8AYywIKtOl1buoNjkglS1ufQ1QoGNI+nFztkH693iEiyQCfND9FfWQnWfJwZhZcRLFuLHJRlJbYs7g2vUzUXUvW9Ospzb+blrZ/4nLvYrL9NNZ53qIhvItCfep9+qZ3i6wyYSjuufhfEATys65lf93PaXa9TFHu7Uf93e1bhsP5N1SqLEoL7kOrLuxyPL1uOHrdcHIzr8EbWI3HV46s/IAGSY9YpsRT91mnAYNM8mB2YTBG/bGlSLIsU976Z+oU2znQuB67upCx5gXkNceQE9E+L4U8Ep12MEU5P6Gu6Q0GF9+MTpu+/sZqmp3KMnjewmSYdPheNxRNwlgyncCBlYSbph/zunj8y4m07yMv6yY+df6NkOBkVsZVjDSfgV5xbNlhR5QaJnBZ4SN81Pw47zU9yuzM7zPBcg5lRb+moeVZguFy9taswmychkU7HdeW19DljsY0+NhgSJZlHM6/EW6voDDnVvTa9FtN9wemQTNp2/IaylYt+23FSLE6SsV6Kg/chs08H5t5bodBcDzQSjIrZSBpP05m7T8JnaYMk2EKId+3v8TqZONUwNAPSLEYQsMBdPM6fqindi6eIJH0ISauISdPicdXTpPzhbSEdT0lKSdY5fwbO/3llBjGkwgo2cEasnwjGWOZd8zxMW8jnl0fYBp8Ou6MeYeDhXiiLbXIO+hMqlTYyLJdiM08j/37d2LNrMYbWIMvsBaNuhC7eT5W0+koBiDrYB9/MY2fPICvchm2UYu6PF6WJRoiu9jhL6c6+CUSSQp0o5iZcTkt0Sq2epfQGKmgQJfaqT28wzdoBgrtt3O3Rm3ORZ8/PvUajb0gbVO0XiHLONe/QNS1j5w5P6Fd48TR+DrByHZAwGSYhN08n/o6yM1vw+1fhsP5Is2uV7GaZmIzL+gwCxeJ1lLneJxE0kdB9s0YtNPZuHETLpeLsrIyRo4cyZ49ezqdliAI6LVD0GuH4PcUkUi8S3XjA1hHTiS8ZR3xQDMqU6pJQFJO8KXnXXI0ZYwNXsWoocfueLu//BhH5O/IOshQnINj/cc4yuwcUG6jMvg5NlU+YyzzGWk6A20/fB6ScoLlzhcwKu0k4xIfOR7nsqJHMPXz7qgzeoAljscJJb0syL4JoTGHEn3qMyOodOTOvQPPjndxf/UmMV8Duf+PvfuOb6s6Hz/+udqyZUmWJe+ZYcfEmc4ge9gEQtgUAi27QEsLHcyyWma/LbO0QPtrKVCgjLBJwrRDdsgmg9gZdux4yZYtWcNDkqX7+8OJG8d2bCd2QsJ5v175w9LR1bm5utJ5znjO7NuJt/4El6OIMdFD+dZTyHrn+1gaQ7j3FBy2d8tIYnJ/QmVTFKqIY8uvf4hWk4jNchF1zvcwN80GNAf3FHgFl6cQQ8RYUuJuO+qmcN1RKQ1YzecSY5pP0e4viDLvxR27Fpe0mdaKB7CY5mEynNlpjwNZ2k6wzUGi7fpuA8i9vnUcaNnO8FA+qQlD2OkuZEX9qygVEkkjo4g0hImX5UELPo2GiShDhn4FC3D4KMM/8DZv7rT/RezUn+GtK8W+4jmSz32sY61bW1sj9oa3iNSPpDzcRH2gjNGhy8iN7v8osVkTz+XJj/JV7Yusqn8Nh38/c203kZ54D7uKVvzvt8m3BikHDNZhhMJNXUbEne4vcHkKsUZfiDmql4xpJ4AqMgZd3AjW+j/DHmjmrNifE66uR6Mvos75DnXO9zBG5mIx5ROpz+kY+Q74agklgE6bgV57cpKvnGiSpCAt4Q6KGo9tfZ3QMxEwDIKW3UVIbW1E5HTtXfpfLufdJMf9iprKaGJM2ViMZ9Hi39enhXXHoqnNxaf2Z6lp3UOu+UKmxCykyF2E0hBkuePfRGsSOhrFh+pZt/4lFCodMblX0VBWibdpC053Id7mLUD70J/FeD1RkeM75rZKxJFom018zI9p9K3F5S6kpv4/2BvexGSYcjAQGrzeGn1sVvsow85PMGXm9zjK0BzyUORZwU5PIe6gHZ3CwBjzOeQY84jWtP+QZUTmUuRaw7K6l/hx6p9RSiq8pauR21oxDUA6w5PJlDWPmq+fpKliC4a0Sb2/4Dgp7GvxOFainpBNlfw6bfZGVCoLsZbLiDbO6ciII1GExZRPtDGPFn8pLk8Bjd61uDxfdxmFC0s7Ka1cjFJpYEjSQ7QFY1m1ahWtra2MGzeO5OSj9xIfSZKHMDTljxyoeQqnbg2qJGjcU4At9yoAijwr8bbVM8f2U1p8XRtqvubt1Ma8BwE16reCBCnGmA6pTGVe+mXs833DDk8Bq+pfZ23D2x0LNxN03S+2PBbfNn5GQ+AAC+LvxFnRxCbFKyyteZpLk/6AepDmX+/xrqOg7h9oFZFcmvQH4nXDKKrq/GMtSQosoy9FG52GffULVC69n/hZv2l/0t9CdmsGm0Jb2LFzFzZ/FObs+Rgz5/5vl+BjXFx/JGv0hTR611Dt+DcyV1BW9QjNrXuwRl9InGXhcU0xlCQJSU4jJf4czOHJVO16hmB6PVV1L2Kv/w/mqJlEm/LQquORlSsPji6M63Icf6iJlfX/IVY7hDTfFM4wjmSkcS4VVYVs2v8vquNbebfyQayaVHJM+WQZpqPtZRTuRDJHzaDO+QF1zveJivjfKINCradt+JWo9rxCzddPkjz/UZRaAzX1ryOH/RijL+HzmidIjxhHrPvYp9JpFHrOjf8tG10f8Y1zEc5AFQvib0cilkTbLIyBUVTueAopw4Kj6WPqyz7FZDiTaGM+EbpMZKmEmvo3iYqcQJxl4UD9txy3yiHRlElFjNXOJNs4m6KqIjKSfoQ/UI3LswyXZwWepg2oVbFYTHlER82mNVCKHA0xpu6z4glCf4iAYRC07NyOrFSiz+r6pdfg/oxG73Js0RdjjppKDe0/hO09nUcurCvoWFhnippGWCHjcO3p9f3DirpO5RqCDazyriIgB5hmmEaqMoKGxsWgqGOibjgu/36WVP+JeaZ5GA72tPgbSvGpiojMnUR906eEVcspr3GjUpqwRl+AxZiHRh3bYx0UCh0W41wsxrm0+PfjchfS6F1No3clWk0qYcVIQqG0XqebHAvL6Eup+uIhPHsKMB82yiDLMlXeFWxXfkbh/irCtJGoG8Fky48YFjkJ1RG7nKoVWkaEzuXb4JtscS1mQvRFuPd8iTZmCNqY/vXWyHKYppbvCEvFhMNDBmTxXCjUjKdpIzK97856pIikcagirbh3f3lMAYMsh3H71hBWFPf6mQy4qwhFrSSYAn6pmCjtOKJNeQdTJnbfQGu/H4YSoRtKfMzVNPpW43IXdIzCReizkFXbiNCOIDX+N9TXt7J162qUSiVTp04lOvrY1mZo1LEMSX6Eyrp/4En7hnrn50QHLkRS69nk+rC9ERcxlmL+N2ohyzINjUuwN7yJVpNCatJvcUa/RVPxBkgHTWw6aoWWbOMsso2zqPeXs9NTSLF3Fbu9q7FokomTxpF9nOsNPEEH653vMSRyAkMNEwhQxNnxt7Gk5ikK6v7OOXG/HtBGQ1gOs67hHTY3fkyCLpNz42/vNS1jZMoEUs59jJqvn6Lqy8dQGjMo27yfGEJoJygpz0lgUsb/DdjeLUdSSGoSbTdSVv0oqJ6nxa8mJf43A55X3xA/Ae2aaDSKDExnLsDlKcDp/pIG92do1IkgNWKzdL/gf23D27SEPFyQ8DsafP/bcE69bwdjaiKZP+kZ9rVsZIenkOWOl1ld/18yo6Zi+Z5khZEkJbGWi6mq+394m7dgPDy3v9ZM/KzbqfrqUewrn8M4ZQFu3xps0Zeyzv05MjKzbddT5W44zjoomGS5BKs2jS9rn+ftyvvIlM5heDCDhg2voyeelGFP4G+rweUuOPjbtAqtJpmwsh6tJpnkuF/2+P3kbWugvGkbMsc36tVXB5q3s1H6hlinxAgpAg7LM6LVJBJvvYrYmIV4fBtwuguobXiL2oZFSNEyhBSYDFN7Prgg9JEIGAaDBHJ2Tpf89N6mb7HXv44xciKxlst6fPnhC+uaW/cc7GVdgawMUtuX71ElHeWqgd2AlvblP1rfGmp9azrKuVwwEtgELGtcTC6HfSjSwM0GaATkIaQkXH8wx3b/PjZ6bQb62BuJs17VvtDUU4is/IzismXtow6mfPTaoQPWmNHHjUAfPxLXd4sxZp5FWPLT6FnJrsYlbA+5UCggQ53E5LhbsfYy7csmD2dY5GQ2uD4g1R9LoLGS2Ck/63Nd29oacXlX4HQXEmyrAxUUl32GOWoGFmM+uqOkxOuOLMsdc+7dvnXIsh9U0bSFcvq1oE1SKDBm5uPc+jYBdxUaU99TuIbCzVTWvoC3aXOnz9pRRSqwms/HYj6r0wZMfaFURhBjmnfYKFwh3qbNSKGJpCf9mpJ9+ykuLsZsNjNx4kR0/dmZvBsKhY6UuF9TE4jAGb2MkgO/wx8zD0+bg1m26zpvDhf2U1X3T9y+NRgjJ5MUdwtKhY64m3/Bgb9W0EYNmqi4Tse3atOYbbuBaTE/Zo9vHTvcX1GkWkyc28boY5xnLMsyyx2vIAGzrNd1PD4kMpdpMVeypuFNYjQpR90Rtj9aQz6+qP0b5c3byDHmM8t2Hco+fi9oTEkkn/s4dWv/jq96F6aseZiG59PMNlbVv0Z1YF+n0c6BZogYicV4Fk73FoYm342uj3sz9IekUBCVMZXGos+JV9yCIf7XtLW5cXlX4PIsg3AaURFdN8asad3LDk8BY03nEKvLoOFgh1JbswvfgY2Ys89BpzGRo8knx5RPbWsJOz2F7PauQVJ9g605ipSIrouKT7T2UYYPD44yjO90z+jjRhA7+UZqv/l/eKpK0Oji8WqSKXW9z9SYKzGqY6ni+AKGQ4ZE5nJ58mMsrXmabapF7N2/mCRTCxOyfoVCqUGvTEMf+1PirD/B7V2Ly1MAqElLuLPLWsKwHKa8+Vt2ugspa96CjIxVOZyR8mgUg5j8whWo5jP7c1g0SUxtsdFU9w1y7jVdyikkNeaoaeiDSTTUfIzbv4FQTBiFb2A6qARBBAyDwHrF1Th27er0mD9QRUXtc+g0qSQdpeficJIkEanPIlKfRVLszygq3sWIrBG9vq54dzHDM4expuEtij1fkaw/g7Njf9kpFd2hcoeOF9u8k8X2pzgQMYYJ+yNoKltH8rmPoTUlgySxu3gfJsPx/YgrFTospjwspjx2FRdispTg9q6h0bscnSb9YHrL6QOy6Dt69KVUrnuEstI/0KyooIQ2ygGbKo4sfzoa1uN2vIQp4fZes1/MtF1Lefl2lje8xgRNBIaMo/fWHBpNcHoK8fo2IhMiQpdNXMzlVFd5iTLvw+UuxOn+gghdZvu0syPmOB8pFG7B7V2N011Ia6AMhaTFHDWNCF0WVbX/pML+F9IT7+1XMGccNgfntndx7ynANvHaPr3GH6jmQM1T+IN2EqzXUluTdNTPpHvfMuo3vErbsCuJP+P49sc4fBQOYOfOnWzdso3q6mqSkpIYM2YMSmXPaR/7+14JKTfRsuxbmpKdrG94mxh1AumHNfICQQcH7E/T6i8nznIF1ugL/zf9QqvDtGAeDZv+g8rQ/UicWqFjpHEO2VGzeHvvQ6xwvEq0OoGUiP7v2VDStJGy5i1Mj7maqCMCsvHm82kIVPCN810smmSGGSb3+/iHa/BXsMT+FN5gPXNsNzLKlN/vYyg1ESTMvoOioiJsB/f8GBW2sdn1MRuc73Nx0gPHVcfeJNhuoLFhyqAEC4dEZUyncddSfAfWY8rMR6UyYYu+AFv0BRQVFXXpdAjJbXxd9y8MqmjOjLm803OefctADmHM7LwuLk43lDjdUHLN5/N++eN8VP1HZlivYoxp/kmdgiJJKmyWi6iu+ye+5q1ERXYOjozD59DgL8Sv3EeUfxpfNrxBjCaFcebe1531l0WTxI9Tn2DVjtepDnzB3lTY1/I8GTVryTHmkRox5uBv01wsprnsKtrVafTc1+Zkl+drvvN8jbetngilmdzoC1FLOtY532Ztw5tMt1414PWG9sB8cc2TSCg4L+EulHIp9vIttNh3Av8bhQsHW/GVrcO9twB/fQmSUo0lbRrGmDzK5NCg1E344REBw2A57Mu6LeSjvOZJJKk9z/WxrEeQJBUS6qM2Kg8JEuCTmiepai1inHkB02J+jKKb/NmHHy/dMJ6Z1mtYUf8qiiBMyb4QffTg7U4ryYkkxeYRb72KRu/qg4u+/33Eou/+v38o5MPlXYnLX0hgFDS17WevOgZ7qIGRxrnMsl3P3uJ9JCVNp7L2BUoq7iMl/nYi9T3PIzeoLEw2XsBq+R1cI8YytId1EW0hDy7PClyeQgJBO0pFJBbT2VhMeWgPpr+rkYtIiZ9PW+haGj0rcXoKj5jjnI/usFR5La2lOD0FuL1rCMt+dJo0Em0/PTiPv306V3V1NU0tH1NT/xqJthv6/H+l0pvaM5fsW0HM2IW97l3hbdpCRe3fkFCRnng/hoiR1NUU9fiZlENtuHcsQWcZjs84sAvuWlpa2LJlC9HR0WRnZzNs2MBnApIkiZjECyiveJWWdBgetNPg/owY03xkqYySimeQCZGWcDdRkV3norc11SEr1N1uLnc4haRgVOgStuv+y6f2v7Aw+THMmoQ+1zMQbmGF41WsmnTGms/p9jzm2m6iMWDny9oXMapjidUeW0KFOqmI5ZWfoFZouSTp9yQe5b7pL5VCw3jzBaxueJ3qlmIS9b13jhwrSZKQGNwGtcaSjtqUhLd0NabM3oOqbY2fUR84wIL429Ec1mkih0O49xQSkTgGjTG+29eaNQlMaruRcnMBK+tfo85fxlzbjV2mWZ5I0VEzcRwcZTBEjOsUwPgDVTTr9qPxmdnqKcCXKDM/6Vd9HqXqLwVKEkuKSfVHYlpwL8X+DezyLqe0aRNRKis5xjzOMM4mUhWNhIQshylv3s5OTyH7mzYjEyZFP4oZ1qvJiMztqGelo4QtjUuwaJI5Y4D3OAjLIT63/xVPsI6Lkx7ApI4lnGxGodbj3b8aLHPwuw7g2VOAt3QV4WALalMS1onXEDVk5v9SxTaIxb/CwBABwyAItXqQXMX4DviQ5RC1bR8QkB3Eqy4jUFNGgDIA2uQg9U1b+a5sax+OqqA+LKHx+Y5aqk32s171OkF/M/PifsmIPuTPPmSUYS7lexZRmtzMEGsc/cmrIssy9YEDNOPsx6va01seOd2k0bsal2cZOu0Qoo2zkaUmPL2ct0yIsPJrist2IctB9NphaNVz+Kbla1qUTubE/pQcY37Hj5bRMJEhmsc4UPMUZVWPkGC7HstRekpTa0KYwrDVWMKoUBPag5lUZFmmqWUXYeWH7N5fjEwbEbosbNGXHHXUQKU0Yo0+jxjzAppadnWa4xyhG0FYkUhJxeu0+EuRJA0mw1Qsprxu9ydQyGOJNoepb1yMVpN81I2pjmTKmodv/xq8ZWsxDZ9LmxykUapAlkd0vI8syzhcH1HnXIROm0Zq/B1o1LZej+0pWU5bUz36SZfT7HP1Wn7fvn2sWrWKsrKyXsuGQiFaWlo455xziI3teS3N8YocMo3S0KtEBw2km0Zgr38Nb9NmwspdaJWJpCbcgVbT/e7Dbd460Eb3qadXhZbzEu7inYr7WVzzJJcnP9rxGevNNw2LaAq5WJBwe7cdA9DeGF+QcAfvVN7PkponWZj8x17XG3Q6l3CATa6P2Kb6gDjNUBYk3IFBNfDzt0eZ8tnc+Anrne9zcdL9/X69K1BNK54Br9exkCSJqIzpOL99h6DPgdrQ8z3jCTr4xvkeGRG5DInsnOa6qXIzoWYnpslH7wxQoWVB/O1scH3Aeud7OAOVLIi/vcuI04kiSSps0RdR7fgXvuZvO4JqWZapqnsJSaEjMuNGyuqeItWhxhrX988jtHdItNTuQnKV4Dtw9N8Hv7MMhbecmDNvwhQ1jGlRwzgz5nJKfBvZ6SlgnfMd1jvfIyMyF1mhZ335i3jaHOiVRsabz2OkaS5mdddgLTN8DhhaWVb3EmZ1woAG0Kvr3+BAy3byYm/umKKnUGqITJ2Mr/wblPZSKjZWIinURKZNxpSZhy52xEkdWRJObyJgGAQNW95GtW8Z9n0QzIBQAqj2QqPj7Y4yzVrYPAK8ZqCtjwfWwjZ778V0GLks6WFi+9lD37hrMSN2N+Oflsqy+peJ1qWQ0EtGo0C4hd3e1exwF1IfKAM1lFctI8eYz1DDxD73GHVe9H11x26qNY6XQQUH+nDeSBosUbOINuVTHaynoPYFFGolU/ZGMHLIrC5fpDpNMkOTH6ei9m9UO16ixb+fBNv1KI6osxwO4duzjFzbML42lLC24W1mxFzeMUIQCFaDpMViysdizOvXugRJkjBEjMQQMfKwOc6FyMpiwnIKCdbrDqakPXrjMS7mSvyBSmocr6JVJ2Lo4zxmnS0TTXQq7uIvUaSP4TP7X7Cr9uKuLSYv9mcokKmq/TuepvWYDNNIir25T/Nh5VAbrh0f4UyL56vAK4RUQSK9MiO6SVEYCoXYtm0bVVVVGI1GUlNTuzliZwqFgvj4+EENFgD2+bfQrIPsPa0kz70Zpy6DOue7IGcxJOWejlGeI3lKVtJcvR3Z3PcGhEkdy4KE2/mw6jE+q/0rFyTc3WMAcEhdaynb3J8zynRWr/stRKrMnJdwJ+9VPsTSmqe5JOnBXnugnYEqdroLKPKuxB9uIjE8louSbh+0nmu1Qkuu+TxWN/yXmpbdJPSxASbL4YNZcd4FFVRWjyfHlEdaxNhBnV/em6iMaTi/fQff/rVEj7qw2zKyLLPC8SpAlzUy0L7viyrSSkRS1zUPR5IkBZMtP8KmTecL+wu8XXk/C+J/O6ijNUdjNs7C4fqQOud7HftNNHpX0txaRLz1Bgo9H6JTGBhRGaam7kmS5z+CQnP0RBhBby3uvcvw7ltOqNWNCrDv670u4ag0jMPndPytlFRkRk0hM2oKjYEadnoK2eVZQavSS7J6JFNjrmSoYdJRf8MUKJgf/2sWVT7AUvszLEx+DGMfOlN6s9NdyLfuzxhrms9IY+eU58Zhs/CWLEdStRAz4WqMQ2aesim+hVOLCBgGgXXydTRoh2NJqMXR/BFm3Uxsk8/teL4yuJd1vjeRkRntm87whN53MJXb/NQUrUTpLYU2P6qoOAxpk4hIHo9S3XnOf22pu9/BQsBTg2v7RxhTz+S8tJ/yTsX9LK15ioXJj3fbQ1XXWsoOTwF7vGsIyn6smvaFnJX2MmqD2/m89jn09SbOiJrVY+9MTw5f9B0I1lBSspuMIb1Podhf6ibBNqqjhy1WO4Q8/fm465/Ds3cZ5hFdp2solZGkJdxNrfMd6l0f4w9UkBL/206b4DRVbqGt2Ula+nWcoVnDDs9XaD3LMBJCrxtOUvTPqamykGg7viwlh+Y4W83nUVS8gWFDJ/e5t0iSFCTH30Zp5e+psD/LkOTH0Wp6/z+XJAlT1jz27HyJLw/8jiABEsPj2ONbR4O/nFGEUQTtxMdcRYx5QZ/r4y5dQVF0PXuTwKbJINgS5sva53H493eaItfS0sLGjRtxu92MGDGCtrY2srP7tlamaIBSbfYkLIfY4PqQGGUCsfU1+EpXE3vGpUQb89i7t7rbYEEOt1G/+b+4iz5DHz8ST3zXz9zRJOmzmW37Kcsc/2R1/RvMtPW8tiQsh1nmeAm90sRUyxV9On6sNoN5cb/gU/uzLHP8i7Nif9GlTJscpMS3nh3uQqpbi1CgZKhhIjnGs/CWS4M+zWWU6Sw2Ny5mvfN9Lkq6r9fygXALX9X+nZKmDWQZpuF3g92/k/01m4lSWRlpnMMZxjmDMiLSG3VULDpbJt79q3sMGEqbNrK/eTPTY37StbHZUk9LzQ4s4xYiKfoe+AyJnMDClMdYUvMkH1Q9ykzbtYwynnXCe58VHaMML+Fr3oZMqD3LmS6TKmRq/SXMi7uV1Olmqgv+iH3V30iYc1eX48jhNpoqtuDeU0BLzXaQJCKTxmMcPocDdV6GZPT++1Ba+gZurQAAIABJREFU4+tx7aBZk8B061WcGbOQncXfMnZYz5uZHkmnNHBewl0sqnyQJTVP8aPkh9EcRxr0ypZdLHe8TGrEmG7XRujjskn/0YvsLbMTfcax734uCP0lAoZBoFBqkCNbcDR/giFiHEkJP0eSFMiyzNbGpazx/heLJpkFCXdQs89FUmzfGkhedzxZwzLw7l+DZ28h/g2Ladr8BYb0qZgy89Ba26er1NO/hpQsyzjWv4ykVGGdeC0qZRTnJ9zFosrfs8T+FD9KegiAQLiVPd617PQUUOcvRSVpyDRMJceUR9zBqTLq6iLOSbuRA83b2OkpZEvjEjY3fkKKfhSjTPmd5n/2RpIktJpEJNzotem9lg/xLUvtz1DatInsqJnMsd2IUlLjj/sS146PMQ6fi0LZtbEjSQriY65Er0mnsu4flFTcR2rCHUQc7LF17f2McGoEdt4hpqkKLbBXEcFlifcScTAws1cNXONVkhRImPr9465URJCWcBclFQ9woOYJhiQ/1qe0tRXWEOtzQB8MclnGozhKmzjDOozlzndZA+TH/Bhr9Hl9roe/zctXnv9QkwpZhunkxd7M7t17qI/exNbGpdT7D3BO/K9ocQfZtGkToVCISZMmERcXN+hBQH/s9q7BHbSzIP4OtLbFuHd/iSn7HNQqMxI1XcqHWj3YVz5Hi/07TNnzseZehWd372mQj5RjmoszUMG37s+waFK63VQRYLv7C+r8pZwT96t+5eEfZpjMmZbL+Mb5LjGaFCJoH0V0BarZ6SmkyLOS1rAXoyqWqTFXckbUbCJUJgCK+vndcizUCh3jzeezpuG/1LTsIUGf2WPZxqCdJTVP4QpUMT3masaZz6XYVcyC9FsobdrETncB3zjfZb3zfTIic8kx5pEWMfq49lvor6iM6Tg2vIzfVY42uvMi60C4heWOV7FqUhljnt/ltQrHJlAoMQ6b0+W53lg0SSxMfpwvap9nueNlHP4yZtmuP+bzOFZm4+yDUxrfR1ZGEg43Y7Zczpf2p0nRjyLLMA0pSsI26Toc61+mYetbcDC5QNDnwLN3GZ59XxNqaUQVYcEy5kcYh81BFXlw0qyvCK0lvfeK1Pb+2VVJarT0f0NFiyaJ+XG/5pOaP/FV7QucG//bY/qMNeNiVc0rmNRxzI/7Vc9TDCMsINX2+/iCcDxEwDAI/AE7YeUitJpEUuJvQ5IUBMN+ltX9k92+NQyNnMRZcb9Ao9BRQ+9zuw+nUOswZeZhysyjtaG0fcHT/jV4S5ajiU7DlJkHof5N0/DtX0NLzQ6sk65HFdHesx6jTeGc+NtYXPMkn9v/RlAhsXz/dwTlFmI0qcyyXs+IqBndNlQUkoL0yHGkR47D1+bkO8/XfOdZxqf2Z4lQmjnDOBsdA5udxBWoZoPqJZqbnMy0XssY0zkdDW7L6Eup/uoxPHu/xjzi7B6PYYqaglaTSHnN0+yvfIjYmMsIswV38m5Qgl6RQFrsz4iU1HxW+zzFLbsYfwwLs3sjyzJ+fMjHsJOrRh1HSvxvKKv+IxW1z5GWcE+PP1whuY2V9a+xw/0l8W0x5GxrxJxmpFbxFbKzgKnqBHYQ5vOGt2mS1J3+T3vSGLDzSfnDNBoDTFbNYVLczUiShAIls2zXYdOms6zuJV785lckOGYSb0xjypQpREUNzpB6MNxKmHC/XxeWQ2x0fYBVk8aQyAn4svzUrn6elpqdRCR2HUnyO8uo+fopQi1uYqf9AuPQmcdV7+nWq3AGqrrdVBHaM7esa1hEasQYhhum9Pv4E6MvoSFQyZqGtxiimElR1XtUtnyHAiUZkbmMMuWTctiOsSfaaNNZbHZ9wnrX+1ykv7fbMuVN2/i89q9ISFyYeB+ph2WXUkoqhhvOZLjhTBoDdr7zFLLLu4LSpo0YVTZGGueipn8b+x0rQ/qZODb+B2/parS5nb/3Dq0/OTfht106UsLBVhT132JInYxK37/5/YdolZGcl3AX653vstH1IQ3+CoZzfNnK+qt9lOFCqh3/BgVYzeez3lNISG5jju2Gju8UU9Y8Ao2VNH63GEW8k+rqj2mu2gYSRCSOxZSZT0TSWCTFwGRCG2hpkWOYYb2alfWv8Y3zXabE9G/TN3+4mW9VbyET5vyEu/q8hkkQThQRMAwCh+sjQDqYESkCT9DBUvvTOPzlTLEsZEL0RQMyNKyLGYJuys1Yc6/Cu38N7j2FONa/jEqhps4zHWNmPjrr0bPThPw+6je9jjZmKKYjUvZlRI5nesyPWd3wXxQKFZmGqYwy5hGvy+xz/Q0qC5MtlzIx+mLKm7eyw13IZtfHSColEd5Qt3Pa+6usaSuf1/4NGZmLEu8nJWJkp+f18SPRxWbRuPNjTMO77609RKdNY2jK41TYn6O24S1QKlA6JFJy7sNgam+QmGWZdO9avnG+y3DDmQO2qLA15KPIu5Kd7gJc6mqKKtPJMeaTFTWtU9aU3hgiRpJou759k7OG/5JgvbpLmea2Rj61/4Xq1mLGm89nrDSWStuj7K24E1np69hTIJswX9a+wMr6/+Dw72fOUTKvtDfgniMcamFaTTzjZ9/c5XOSHTULx75m3iv6G3bzu1w39t4BDxZkWcbeupedngL2+NahUumxtf6uX9P09vjW0hi0c2787e3rTNImU7/pNdy7v+oSMHj3r6Fu7f9DqTWQdM5Dvd5zfaGQlMyP/zXvVD7A0ppnWJjyOKbDUj2ucLxKmM4Nrv6QJIn82J/jDtZS6l+BMWhjimUhZxjn9Gsx9GBRK3SMjz6PtQ1vYW/d2+k5WZbZ0riEtQ1vYtGkcF7CHZjUcT0cCcyaeKZZf8LkmMsp9W1kp6eQdc53kFQKqmomDHpwpNQZiUgcjW//WmLGX9nxPnWt+9vXnxjzuqwVCwdbqVv7D6SQ/7h3lVdICqbELMSqTaOg9u/Uqf6Ko3YKOcZ8EvrxXX482kcZPiYYDNKiy2SvfTGTLZd1yQZmnXgNAXcVLfY1+PXRRI++GOOwuagNJ2fhdn+NMc2nIVDJRteHWDTJZEVN6/U1h6+f8OPjwvj7+pUlTRBOFBEwDIK4mMvxOMehVcdT2fwdn9r/Qpg2zk+4i4zI3heu9ZdCE4Ep6yyMmfn4G0o4sOE9vGVr8ez7Gq0lA2NmHlEZ01CouzY6G7a+TcjvITHvd93OkR1nPo9Y3VCcZa2Mjjv2uiskBRmRuWRE5uIJOvh4/9PdzmnvD1mW2eT6mHXOd7Bq0hjhv7BLsADtjSPL6B9RXfA4nn1f02mbzG6olFGkJ95Lk28X1UuexJg0oSNYOHS82bbreePAnSyvf4XzE7rOue3POdS07manp5C9vm8IyUHitcMZEpqFRy7ja8dLrK5/g6yoaeQY84ntZaO5QyymfFoDlTQ0LkWnSSba+L8pDbWtJSy1P01ryMcs88VY2mop9/0fcjoofH4k3cWkxF+OJEkogfPi72C98302uN7HGaji3ITbiTps74rDG3BmLIzZ1szQaVd3aYgEg0E2b96MxxHimom/Z7/lUwqdL9AYrmRKzMLjXpzqDzVT7F3FTk8hDYEDqCUdI6JmUOLezLtVfyAv9uY+ZQ0Ly2E2Oj/EqkllaOQEACSlGuOwObi++4RgU337eYfDNGx9i8bvFqOLzSJ+1m+PuSe4O1pl5MGpgQ+ypOZJLkt+BI1Cj0PaQ0nTBqZYFh61odwbtULLRYn3sWXvaqYMnXfSRhN6Mtp0NltcS1jvfJ9M2uf/B8N+Cuv+H3t8axlmOJOzYn+Ouo/zxVWSmsyoqWRGTcUVqGbl/nepatlJSdMGTOo4Rhrndpp+NZCiMqZRW7WV1rrd6OOykQmzzPEv9EojU2Ou7FQ26K2jZvlTBBorCCXno48bmAXLww1nYtWk8vX+NynxbaLYu4oYTQo5xryDo8WD16OtkNQMSX6Y4r27WVH/OtHqRHKjL+hSTlKoSJhzF3u2LGPoxLO/t6MJPWn/bbgBV6Cagrp/YFbHE6fr2oEQkts6MjRVtnyHhIIhkROIdp/RaaRMEL5PRMAwCNQqCxDFtsbPWVn/GmZ1POcl3El0D+kXB4okSeiswwhlXMjQob/CW7oKz55CHN+8RP2mN4gaMh3T8Dy0Me2NTslXgWdPAabsczse6+6Yyfoz8A7g3GWj2sb40FWHzWkv55z4X3fZWO5oAuFWCmr/zr6m9WQappIX+zP27S7tsbw+IQedLQvXjo8g+5Zejy9JSsJ2B4pgAFPWWV2eN6ptTLb8iDUN/6XEtxH6Oe+1NeTraNw6A5WoJT1nGOeQY8zDpk2jqKiIESkjsPv3sdNd0FE2VjuEHGM+mVFTe11Yl2C9Gn+giuq6l9Co23usijwrWeb4J1pJyySlCWXjh3gVkVhMZ6H1WXFuf5224fpOjX1JUnBmzGXYtOl8WfsCb1fc15F5JUSQL2r/1t6Ai5xM1vr9aAxDumR0aWpqYtWqVbS0tDBmzBhSU1MZL09kheMVNjd+TH2gjLPjbuvX/yG0Byu1/hJ2uttHE9pkPzZtBnNtN5J5cGTG2rCJfcZP+bL2BRz+sl4D1L2+tbiC1V3mIRsz83Ht/ATPnkJQDae68E+01GzHlDUP64RrkJQD/3UarUlkfvyv+bj6T3xhf56z42+lWPkpFk0y46OPf2qJTmkgWk773gULAJrDRhnipAl4gjEsqXmG+kA5U2OuJNd8wTH3jkdrEskMz2NB+i2UNG1gh7uQtQ1v8U3DIoYaJpFjzCdZf8aA9b5HpkxAUmnxlq5GH5dNhWITdf5Szo67rVNDvblmB/YVzwEyCXN/xwHPwC4wj9Ykkh1ewHkZt3asR1tR/yprGt4k0zCVkaY84rtJ3TwQ1KoYyhRb8LTVcXHig6gkdbflFGodsjHjlAsWDlFKKs5NuJ1FFfezpOYpFqY83vGcO1jLTnf79LiWkJsolfXgyF77HhBFjd+fNVyCcCQRMAyCtnCAXcpPqK7/lozIXObF/RJtD+kXB4tSE4F5xNmYsubRWr+3fa1DyQo8ewoOTj/KQ1m2BFWEhZixl/d+wAF2+Jz2rx3/5p2K+1iQcCe2Puy86g7WsqTmaZyBCqbH/IRx5vN6/YGTJAnLmEupLvgjivqtyOGuIxFd3mf3V8j6WHSx3ffwjTXPp9i7ihX1rzCBmwjLvc2Vl2mUKvmqdjl7fetokwPEaYeSF3szmYapXXpKJUkiQTecBN1wZlqvodi7ih2eApY5/smq+tcZETWdHFM+MuEe3lsiOe42SisfpKzmafYo46mo24sZiRy5CbMmiWjLZR37Rcgxbbg3LSZctxHo2vs31DCRyzWPsaTmKT6oepQzYy5nh+prvL5apsZcyfAGIw7Peixzrum4HuFwmKqqKjZv3kxGRgZTpkzBYmnPVqOUVMyNvQmbNoMVjld4p/IBzuBiwnLvqTSD4VYqFJvYWvEf6gNlqCXtwVGYvC49ehoiuSjxPtbU/7fXADUsh9ng/IAYTQpDj8iHrzbYiEgej2dvISp5OS1BD7YpN/c6ze14pUaM7thU8e2Ke2mV3Cyw/WbQNrn6PhltmscW12KKlEvZXvEOYUJckHA36d1slHcsVAoNWVHTyYqa3imF7F7fOszqBHKMeSg5/ukhCrWOyJSJ+Mq/QT/+IvYpCknRjyLT0L5rvCzLuIs+pX7zG2hMScTPvrN9kzbP4DQgNQodOaa55JjmUte6n52eAnZ717DLuxyrJpUcUz5g68N3Wruev4P+xxWookyxlhFRM7sdCT6dRCiNnJdwF+9W/p4lNU8RL+Wyu+pDDrRsR0JBRuT4jl2mT2baX0Hoj9P/F+ckWNPwJtWKb5kUfSmTLZee1N47SZLQ2zLR2zKxTrimY9Shbt0/kQDr7Dt63eF3MJ1hnI1Fk8zSmmd4t/L35Mf+nMyonhdxHmjezmf25wC4IPF3pEWM6fN76RNGobMNp7X8U0rKP+3Ta8Jp5/YYjCglFXNtN/Ju1R9Yrv4zy0v6cEAVqH06RkTNJMeY1+cpRlplJGPM5zDadDY1rXvY6Slgl3c5OzxfgRoK+vLeCi8pqJhonIPVdBY6bef9DiSFCuPwPJzb38dbupqoIV3Xl8Rokrki+XE+r/0baxveQoWWCxLuJk0/mgPLb0drSSciOZfm5mbKy8s5cOAAgUCAiIgIZsyYgV7fdVrcKFM+MZpkPrU/yzr131lX8vc+/Z+gBCvt6XyzoqYfNShXSipm2q7Fqk07aoC617cOV7Ca+fG/6fa+NWWdRU3lZlAbSDr7D+htPWfwGUijTWfTEKhkp6eAxPDYLougT1cahZ5x5gWsc75DtDKJ8xPuHLT53RZNEjNt1zI15kr2+r5hp6eQ1Q1vIKmU2O1nkmPKJ1F37BtjaTLGs6N1NSsrHkQmxBzbT5EkiXBbAMc3/8RbuprI1EnETbul2+mjgyVWl8Fc3U1Mt17Fbu8adnoKWO54GdT07TsN+vwdpEbfbarQ05FVm8rZ8beypOZp6lSlGIIxTLZcxsiTlOJXEI6XCBgGwRnG2agb4jkzpn852AebUmvAnD0f04hzaK3bTfnebRhS+55verDE64ZxRcof+dT+DJ/XPofDv58pMVd06nlpT0m7hDUNb3akpO3P3g7QHjzFTruF/RsXY7P1vohOUmqx95LNKUGfyfkJd7GrcgM2Wx92P67zMzPz4n4tYu5UJ0kiUZ9Foj6LmdZr2etbxwF7Sa/vHWxzEXT5mDn85yiOMpXJfMa5NJRupHb18/idZe2LNI+YGtA+t/5udntX0VylIj1yHJ6SlQQ8dpQ5N7Bhwwbq6uqQJIm4uDjS09NxOBzdBguHJOpHcEXK/7Gy5H2stt5/TCUUhOoMTB6a368GXOcA9cGDAerBXl7aRxcsmmSGRU7q9vURiWOIm3EblR71CQsWoP26z7JdR4Iuk7Yq4wl73++DceYFuOtamDHkohMyUqtSaMg2ziTbOJMGfwUryxaxv3kru31riFYnkWPKIztqJjpl79MQD61R2uEpYJ9/PaEMiPG3MUa5ELMmnqCvHvvyp/E7y7CMvZzoURedtA4mjULPKFM+OcY86vylbC4vxGqL6f2FgMPh6NP3n1wbTYTyh/P5HRI5gfMT7qKiooLpQ88XownCKU0EDIPApk2nXm452dXokSRJ6ONGIDvlk12VDpEqM5ck/Z4VjlfZ3PgJjkA558Tdhk5pIESQL2uf75KS9lhojImEE2di6ePmYPY+7AuQETme1rCebEvvxyyqLTrmYOFIOqWBUaazUFUn9+29G4qOGiwAKDWRhLKuIdq3gcZdS/C7yomf+WuU2s6NI4WkINs4i6KqIlpbmtny+b+pdkoYov3o9R4yMzNJS0tDp2t/v/r6+l7rZ1BZyAhP79O5QPv/5bH09nYOUP+Kw1/GlJgrqJV24QpWcU7cr3tstEmSRFTGNDgJ+0UoJRXZxpkUDeCeH6cClUJDkjzuhE/rhPb00iPC53Je+q3s9a1jh7uAVfWvsbbhLYYbzuwx09CRa5Q0ivY1SknlPpS7NxIYk0pLbRH2Fc8ih4IkzLmTyJTcE35+3ZEkiTjdUDLCgX7di339/vuhyYgcT6usF8GCcMoTAYPwvdE+p/1GbNr0g3Pa72eW9Xo2ql7F66sd0JS0pwu3201DQwN1dXW9lu1zOVcjMZnngWyicvNb1FT+hrhpv0Br7py3PhQK8d1337Fj9ce49pUyfNZ1ZE+cSFxcHIp+7Ep7MnQXoDYoq7BokhlumHyyqyd8z6gVWs4wzuYM42wc/vKDiQhWd8k01ChV8FXt1+zxrSMkB7usUWplL5W71qIs/ZCqrftQR8WRMOcONKakk32KgiAIRyUCBuF7p31Oewqf2p/hk5o/oUI7aClpT0VtbW1UVlZSVlaG1+uloqICl6v3DQD7X06D35RP446PCX93J+bs+eiPWADubGhgSGAXo6dOIOvC67+X2XZ6cmSAGpZCzIj+1Sl1DsKJZ9OmMSf2p0yz/oQ93rV85ylkRf2rrKx/DVkVRu3TkR01ixxTHrHazmuUtNZhqKPiCDbuJiJ5PHHTb0WpOfEjJ4IgCP0lAgbheylRn8UVKf/H1sal6B3pIligfTShvLycyspKQqEQJpOJMWPGYLPZyMrqPbPQ7t27j6lc25x52Fe/SMC5DrMxmuici5EUCiRJomrbZ2jLA8RPuvKUbWiPMuVj1aSy5cAyhhnOPNnVEU4RR2Ya2uNbQ0s9zMq8tMdph5IkYZt8AxV7viVh1tWn7D0jCMIPjwgYhO8tg8rCDOvVFDl+ePNeDwmFQlRXV1NeXo7L5UKpVJKYmEh6ejpmc/smYU1NTURHR/d6LJPJdGzloqOx/uj/cKx/Gc++AlrbGoibcSsKlR5H7Wo05lQiUycc8zl+HyToMxkSDol5xsIxidVlEKvLoMjR+xqliMQxhN0aESwIgnBKEQGDIJxAwWCQYDDYa7mmpia+++47KioqCAaDGAwGRo4cSUpKCmp19xseDSZJqcY25Wa0MRk4NvyHyqX3EzVkOlJrA5bJoqdUEARBEE5nImAQhEEWCASoqKigvLyc4uJiysvLe31NRUUFqampJCQkkJ6eTkxM39IbDiZJkjBlzUNjTsG+4i84t72HrI8lMrX7FKSCIAiCIJweRMAgCIPE6XRSXl5OdXU14XAYi8XC0KFDGT58eK+v1ev1zJgxA61WewJq2j/6uGySFzxOw6Y3aNRlidEFQRAEQTjNiYBBEAbQoQxG5eXleDweVCoVqamppKenExUVRVFREUOGDOn1OH6//3sZLByijrQSP+s3uE7CfgSCIAiCIJxYImAQhAHg8/nYvn07VVVVtLW1dWQwSkxMRKUSt5kgCIIgCKcu0ZIRjls4HKa2tpYDBw5QVFSE3W7v9TXl5eV9KtefsgNdrq9lw+Ewu3fvJi0tjaSkJNLS0vqUjUgQBEEQhB+WQCDAo48+yueff45Go+G6667jpptuOtnV6pUIGIRj1traSnl5OQcOHKC1tRW9Xo/BYMBoNPb62r6W60/Zk/new4YNY86cOSclg5EgCIIgCKeGJ554gq1bt/LKK69gt9u5++67SUxMZMGCBSe7akclAgahX2RZpr6+nrKyMmpra5FlmdjYWEaPHk1sbCzFxcVkZ2f3epyIiIg+letP2YEu15+yRUVFIlgQBEEQBKFHzc3NLFq0iH/84x/k5OSQk5PDjTfeyBtvvCECBuH0EAgE2LdvH+Xl5TQ3N6PRaBg6dChpaWlERESc7OoJgiAIgiB8rxUXFxMIBMjNze14LDc3lxdffJG2trbv9ZrH72/NTmEOh4OioiL8fn+vZUtLS/tUrj9lB7pcMBhk8+bNJCUlERMTw4gRI0hISEChEOk0BUEQBEEQ+sLhcGAymTplQbRarQSDQZxOJ7GxsSexdkcnAoZB4PV6cblc1NfX91q2r+X6U3agy0mSRGJiIrNnzyYqKqpPdRUEQRAEQfghcbvdXHLJJR1/L1y4kIULF3b83dLSgkaj6fSaQ38HAoETU8ljJAKGQTBkyBD8fn+f5773dT59X8sOdLlDZUWwIAiCIAiC0D2TycQHH3zQ4/NarbZLYHDob71eP6h1O15iTokgCIIgCIIgDLK4uDg8Hk+noMHhcKDRaDCZTCexZr0TAYMgCIIgCIIgDLLs7GzUajVbt27teGzz5s2MHDnye73gGUTAIAiCIAiCIAiDTq/Xc9FFF/Hwww+zfft2CgsLefnll7nmmmtOdtV69f0OZwRBEARBEAThNHHvvffy0EMPce211xIZGckvf/lLzj333JNdrV6JgEEQBEEQBEEQTgC9Xs+f//xn/vznP5/sqvSLmJIkCIIgCIIgCEKPTpmAIRAI8OCDDzJx4kSmTZvGv/71r5NdJUEQBEEQBEE47Z0yU5KeeOIJtm7dyiuvvILdbufuu+8mMTGRBQsWnOyqCYIgCIIgCMJp65QYYWhubmbRokXcd9995OTkkJ+fz4033sgbb7xxsqsmCIIgCIIgCKe1UyJgKC4uJhAIkJub2/FYbm4uO3bsoK2t7STWTBAEQRAEQRBOb6dEwOBwODCZTGi12o7HrFYrwWAQp9N5EmsmCIIgCIIgCKc3SZZl+WRXojcfffQRTz/9NKtWrep4rKKigvz8fAoLC0lOTu5U/p133uGdd94B4L777kOpVJ7Q+gqCIAiCIAg/LOFwuNNsmNPJKbHoWavVEggEOj126G+9Xt+l/MKFC1m4cOEJqZsgCIIgCIIgnM5OiSlJcXFxeDyeTkGDw+FAo9FgMplOYs0EQRAEQRAE4fR2SgQM2dnZqNVqtm7d2vHY5s2bGTlyJCrVKTFIIgiCIAiCIAinpFMiYNDr9Vx00UU8/PDDbN++ncLCQl5++WWuueaak101QRAEQRAEQTitnRKLngFaWlp46KGH+PLLL4mMjOSGG27ghhtuONnVEgRBEARBEITT2ikTMAiCIAiCIAiCcOKdElOShO4FAgEefPBBJk6cyLRp0/jXv/7VpUx5eTmjR4/u0wZ3n376KWeddRZjxozhlltuoaGhoeO5LVu2kJWV1enfhRdeOKDnczoZ6GtzyIsvvsidd97Z6bHa2tou12bChAnHfQ6nq4G8Nm1tbTz33HPMnTuX8ePHc91111FSUtLxvLhv+u9o12fdunVceumljBs3jrPPPpt333231+O9/vrrzJw5k3HjxnHvvffS3Nzcbbn777+fq6++esDO43Q00NfmkPvvv59nn322x+dffPFF5s6de1x1P90N5LVpamrikUceYcaMGUyaNIlbb72V2trabsuK++YHRBZOWY8++qi8YMECeceOHfJXX30ljxs3Tl6yZEnH89XV1fLZZ58tZ2ZmysFg8KjH2rZtmzxq1Cj5/fffl4uKiuSrrrpKvuGGGzqeX7RokXzJJZfIdXV1Hf+cTuegndupbiCvzSGLFy+Ws7Oz0jkoAAAM20lEQVSz5TvuuKPT42vWrJGnTp3a6drU19cP6PmcTgby2rzwwgvyjBkz5FWrVsklJSXyPffcI8+ePVtuamqSZVncN8eip+uzf/9+edSoUfLf//53uaysTP7444/lnJwcubCwsMdjffHFF/L48ePlgoICefv27fKCBQvkBx98sEu5tWvXypmZmfJVV101mKd2yhvIa3PIP//5TzkzM1N+5plnun1+3759ck5OjjxnzpyBPp3TykBem/vuu09esGCBvHnzZnn37t3yT3/6U/mSSy6RQ6FQp3LivvlhEQHDKaqpqUkeNWqUvGbNmo7HXnjhBfmKK66QZVmWv/rqK/nMM8+Uzz///D41fO66665ODdHq6mo5MzNTLisrk2VZlv/4xz/K99xzzyCcyelnoK9NMBiUf//738ujRo2S582b1yVg+M9//iO+sPtooK9Nfn6+/NZbb3X87ff75bFjx8orVqyQZVncN/11tOvzwgsvyJdffnmn8g888ID8m9/8psfj/fjHP+7UEN24caOck5Mj+3y+Tu+Zl5cnX3HFFeI+OoqBvjZer1e+7bbb5IkTJ8qzZs3qNmAIhULywoUL5SuvvFIEDEcxkNcmEAjIo0ePlleuXNnxmN1ulzMzM+V9+/Z1ek9x3/ywiClJp6ji4mICgUCnHQVzc3PZsWMHbW1trFq1it/+9rfcf//9fTretm3bmDhxYsffCQkJJCUldaSy3bdvHxkZGQN7Eqepgb42zc3NlJaWsmjRIsaNG9fleXFt+m6gr80jjzxCfn5+x98KhQJZljv2jBHXpn+Odn3mz5/Pgw8+2Km8JEn4/f5ujxUKhdixY0en77WxY8cSCoUoKirqeOzZZ59l0qRJTJo0aYDP5vQykNcGoLKyknA4zAcffEBKSkq3ZV577TV0Oh0XX3zxwJzEaWogr40syzz//POMHz++U3mg015Y4r754RGbGJyiHA4HJpMJrVbb8ZjVaiUYDOJ0Onn44YcBWL9+fZ+OV1dXR2xsbKfHYmJiOuYtlpSUoNfrOe+88/D5fMycOZO77rqLqKioATqj08dAXxuj0cjrr7/e4/MlJSXodDouueQSHA4HEyZM4He/+x1xcXHHdyKnoYG+NlOmTOn097vvvktbWxtjxowBxH3TX0e7PpGRkZ2Cr/r6epYuXcqtt97a7bE8Hg9+v7/T95pKpcJsNmO32wHYunUrn3/+OUuWLOHll18epLM6PQzktQEYMWIEzz//fI/PV1RU8I9//INFixb1+X78oRrIa6PRaJgxY0anx1577TXMZjPDhg0DxH3zQyVGGE5RLS0taDSaTo8d+vvwXoC+am1t7fZ4gUCApqYmampqCIfD/OlPf+Kxxx5jy5Yt3HHHHcd+Aqexgb42vSkpKaG5uZkHHniAZ599ltraWm666aZ+Lab+oRjMa7N582b+/Oc/c/PNN2Oz2cR9cwz6en2am5u59dZbiY2N5Yorruj2WK2trZ1ef/jxAoEAgUCA+++/n/vuuw+TyTSQp3FaGshr0xcPPPAAN954I6mpqcd8jB+Kwbw2X3zxBf/+97+5++67UavV4r75ARMjDKcorVbbpYFz6G+9Xn/U1y5YsIDq6moAEhMTWbp0aY/H0+l0REZGsnHjRiIjI1EqlQD86U9/4tJLL6W6uprExMSBOq3TwkBfm94UFhaiVqs7fiD+9re/MX36dLZu3dppOoYweNdm/fr13HLLLcyZM6ej507cN/3Xl+vj9Xr52c9+RmVlJW+++WbH44dP18vNzeWJJ57o9PrDj6fT6XjhhRdIS0tj/vz5g3Y+p5OBvDYvvfTSUd9r0aJFeL1err/++oE8hdPWYF2bpUuXcs8993D99ddz6aWXAoj75gdMBAynqLi4ODweD/+/vXsLiXJ74zj+dXtIMWuyTFLIsNBMygNBISWSSZEIlVoYRaKRUhRI4KkUTc0oLyLqJssiGSosqKSUvFDBigjpZEJZQXSEGdILSfI0/4v4z252je4dk5PN73PlzPvO8lnzsOB93rXeNYODg9YLRZPJhJeX17hV/6lTp6x3nz08PKztmc1mm/PMZjMBAQHA12Ux35o/fz7wdUtPXfjYcnRuxuPr62vzeubMmRgMBrvb4LmyX5Gb9vZ29uzZQ2JiIkePHuWvv/6euNW4+W/Gy8+nT5/Izs7GbDZz/vx5m7vPV69etf7t7e2NwWBgypQpmM1mwsLCgK/b4Pb19TF79mxqamowmUzWC6ahoSFGRkaIiYmxPrslf3NkbsbT2NjI8+fPrdtDDw8PMzQ0RExMDDdu3NDY+YdfkZuGhgZKS0vJzMwkPz/f+n5jY6PGjYtSwTBJRURE4OnpyYMHD1i2bBnwdUlEZGTkuBeawcHB370XFRVFZ2cn6enpAHz48IH3798THR3N48eP2b59O83NzdZ18d3d3bi7uxMSEuLgnk1+js7NWMxmM2vWrOHMmTNER0cD8PHjR3p7ewkNDf25DvzBHJ2bR48esWfPHtauXUt1dbV1JgHQuPkJY+VndHSU3Nxcent7MRqN3y1V+dF3unjxYjo7O4mLiwPg4cOHuLu7ExERQX19vc2yvXPnztHV1UVNTc0v7OHk5ejcjKWmpsa6pAygubkZo9FIfX39d8/aieNz09LSQklJCTk5OeTl5dkc07hxXSoYJikfHx/Wr19PeXk5hw8fxmQyUVdXR0VFxU+1l5GRwbZt24iNjSUqKoqqqiri4+OZN28eg4ODBAYGsn//fgoKCujr66O0tJTU1FT8/f0d3LPJz9G5GcusWbOIjIykoqKCgwcPMjo6SlVVFXFxcSxatMjh/2+yc2RuLBYLxcXFLFiwgH379vHp0yfrMT8/PxYuXKhx8x+NlZ9z587x9OlTTp8+jY+PDyaTCQBPT08MBsMP29uyZQsHDhwgPDycOXPmUF5eTmpqKr6+vt/NzE2bNg1vb28Vc3Y4Ojdj+eeGDf7+/nh4eCg3djgyN58/f6akpISEhAS2bt1qPR9g+vTp39040bhxHSoYJrGioiLKysrYvn07vr6+7N69m3Xr1v1UWzExMVRUVHD8+HH6+vqIi4uzXkR5eXlRW1tLVVUVGRkZuLu7k5KSYjNNKbYcmZvxHDt2jEOHDpGVlcXw8DCJiYn/eltQV+So3PT09PDixQsA4uPjbY5VVlaSnp6ucfMT7OVn48aNDA8Pk5mZaXN+bGwsFy5c+GFbycnJvHv3jrKyMgYHB0lKSqKwsHACevFncmRuxLEclZt79+7R29tLa2srK1assDl29uxZ62yduB43i8VicXYQIiIiIiLye9K2qiIiIiIiYpcKBhERERERsUsFg4iIiIiI2KWCQURERERE7FLBICIiIiIidqlgEBERERERu/Q7DCIiLmDVqlW8e/cOADc3N3x8fAgPD2f37t2sXLnSydGJiMjvTDMMIiIuorCwkI6ODtrb27l06RKxsbHk5ORw584dZ4cmIiK/Mc0wiIi4iKlTpxIQEABAYGAg+fn5mEwmqquraWxsdHJ0IiLyu9IMg4iIC9u8eTPPnz/n9evXvHz5kh07dhATE8PixYvJyMigp6cHgOzsbMrKymw+m5eXR2VlpROiFhGRiaSCQUTEhc2fPx+Anp4edu3aRVBQENeuXePixYuMjo5y5MgRAFJSUmhpaWFkZASAgYEB2traSE5OdlrsIiIyMVQwiIi4MD8/PwA+f/5MWloaBQUFzJ07l8jISDZs2MCLFy8AWL16Nf39/dy/fx+AtrY2ZsyYQXR0tNNiFxGRiaFnGEREXFh/fz/w9fmGxMRErl27RldXF69evaK7uxuDwWA9npCQQFNTE8uXL6epqYnk5GTc3NycGb6IiEwAzTCIiLiwZ8+eARAcHExaWhrXr18nNDSUvXv3kp+fb3Pu/5cl9ff3097eruVIIiIuQjMMIiIu7MqVK0RGRvL+/Xs+fvzI9evX8fT0BKCjowOLxWI9Nz4+nqGhIWprawkODmbhwoXOCltERCaQCgYRERfR39+PyWTCYrHQ29vL5cuXuXnzJnV1dXh6ejIwMEBLSwtLlizh7t27GI1GvL29rZ/38vIiKSmJs2fPkpub68SeiIjIRHKzfHv7SERE/kjf/tIzwMyZM1m0aBG5ubksXboUgBMnTmA0Gvny5QthYWFs2rSJoqIiWltbCQoKAuD27dtkZWVx69YtQkJCnNIXERGZWCoYRETkX7t69SpGo5GGhgZnhyIiIhNES5JERGRcb9684cmTJ5w8eZKdO3c6OxwREZlA2iVJRETG9fbtW4qLi4mIiGDjxo3ODkdERCaQliSJiIiIiIhdmmEQERERERG7VDCIiIiIiIhdKhhERERERMQuFQwiIiIiImKXCgYREREREbFLBYOIiIiIiNj1P/KZ6CrZq6aQAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "sns.set_style(\"whitegrid\")\n",
    "\n",
    "\n",
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "figure_a1_plot=figure_a1time.plot(x='dayrunner', y='recession',  kind=\"line\", ax=ax1, color=colorsmain[0] ,label='Recession')\n",
    "figure_a1_plot=figure_a1time.plot(x='dayrunner', y='stock',  kind=\"line\", ax=ax1, color=colorsmain[1],label='Stock Market Crash' )\n",
    "figure_a1_plot=figure_a1time.plot(x='dayrunner', y='conspiracy',  kind=\"line\", ax=ax1, color=colorsmain[2] ,label='Conspiracy')\n",
    "figure_a1_plot=figure_a1time.plot(x='dayrunner', y='survivalism',  kind=\"line\", ax=ax1, color=colorsmain[3] ,label='Survivalism' )\n",
    "\n",
    "\n",
    "ax2 = ax1.twinx()\n",
    "figure_a1_plot=figure_a1timecasesworld.plot(x='dayrunner', y='any_covid_confirmed',kind=\"line\", ax=ax2, color='black' , alpha=0.3,label='Number of Countries Affected' )\n",
    "\n",
    "ax1.set_xticks(list(np.arange(60)))\n",
    "ax1.set_xticklabels(['','','','','01-05','','','','','','','','','','01-15','','','','','','','','','','01-25','','','','','','','','','','02-04','','','','','','','','','','02-14','','','','','','','','','','02-24','','','','',''],rotation='horizontal', fontsize=14)\n",
    "ax1.set_yticks([0,20,40,60,80,100])\n",
    "ax1.set_yticklabels([0,20,40,60,80,100], fontsize=14)\n",
    "ax1.set_ylabel('Search Intensity', fontsize=14)\n",
    "ax1.set_xlabel('Day', fontsize=14)\n",
    "ax2.set_ylabel('Number of Countries Affected', fontsize=14)\n",
    "ax2.set_yticks([0,20,40,60,80,100])\n",
    "ax2.set_yticklabels([0,20,40,60,80,100], fontsize=14)\n",
    "ax2.grid(False)\n",
    "\n",
    "h1, l1 = ax1.get_legend_handles_labels()\n",
    "h2, l2 = ax2.get_legend_handles_labels()\n",
    "ax2.legend(h1+h2, l1+l2, loc=2, fontsize=14)\n",
    "ax1.get_legend().remove()\n",
    "\n",
    "figure_a1_plot.set_title('Global Search Intensity',fontsize=16, fontweight='bold')\n",
    "\n",
    "fig = figure_a1_plot.get_figure()\n",
    "\n",
    "fig.set_size_inches(12, 8)\n",
    "\n",
    "fig.savefig(\"output/figures/fig_a1.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Figure A.2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "recession_region = pd.read_csv('output/figures/raw/leave-on-out-region-recession_hits.csv', delimiter=',')\n",
    "stockmarket_region = pd.read_csv('output/figures/raw/leave-on-out-region-stockmarket_crash_hits.csv', delimiter=',')\n",
    "conspiracy_region = pd.read_csv('output/figures/raw/leave-on-out-region-conspiracy_theory_hits.csv', delimiter=',')\n",
    "prepper_region = pd.read_csv('output/figures/raw/leave-on-out-region-prepper_hits.csv', delimiter=',')\n",
    "\n",
    "recession_country = pd.read_csv('output/figures/raw/leave-on-out-country-recession_hits.csv', delimiter=',')\n",
    "stockmarket_country = pd.read_csv('output/figures/raw/leave-on-out-country-stockmarket_crash_hits.csv', delimiter=',')\n",
    "conspiracy_country = pd.read_csv('output/figures/raw/leave-on-out-country-conspiracy_theory_hits.csv', delimiter=',')\n",
    "prepper_country = pd.read_csv('output/figures/raw/leave-on-out-country-prepper_hits.csv', delimiter=',')\n",
    "\n",
    "recession_val=0.178\n",
    "stockmarket_val= 0.580\n",
    "conspiracy_val=0.447\n",
    "prepper_val=0.204"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,4))\n",
    "\n",
    "recessionbp= sns.boxplot(y=\"estimate\", data=recession_country,color='darkgray')\n",
    "recessionbp.set_ylabel('Density',fontsize=14)\n",
    "recessionbp.set_title('Recession', fontsize=16, fontweight='bold')\n",
    "recessionbp.text(-0.5, 0.307, \"A\", fontsize=16,fontweight='bold')\n",
    "recessionbp.axhline(y=recession_val, color='darkred', linestyle='-',zorder=1)\n",
    "recessionbp.set_ylim(0.0,0.3)\n",
    "plt.savefig(\"output/figures/fig_a2_recession_country.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,4))\n",
    "\n",
    "stockbp= sns.boxplot(y=\"estimate\", data=stockmarket_country,color='darkgray')\n",
    "stockbp.set_ylabel('Density',fontsize=14)\n",
    "stockbp.set_title('Stock Market Crash', fontsize=16, fontweight='bold')\n",
    "stockbp.text(-0.5, 0.815, \"B\", fontsize=16,fontweight='bold')\n",
    "stockbp.axhline(y=stockmarket_val, color='darkred', linestyle='-',zorder=1)\n",
    "stockbp.set_ylim(0.0,0.8)\n",
    "plt.savefig(\"output/figures/fig_a2_stock_country.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4iYiI6Sj8RETEdBR+IiJiOgo/ERExHYWfiIiYjsJPRERMR+EnIiKmY/PWjpxOJ6mpqRQWFhIUFERaWhpNmjQx2tPS0ti1axehoaEAvPzyy9SqVctb5YmIiIl4Lfyys7MpKysjKyuLgoICMjIyWLBggdH+xRdf8Nprr1G3bl1vlSQiIibltWHP/Px8EhISAIiOjmbPnj1Gm9Pp5PDhw8yYMYPk5GTeffddb5UlIiIm5LWen8PhICwszFi2Wq2Ul5djs9k4deoUw4YNY+TIkZw7d47777+fVq1a0bx581/dXmlpKXa73Ruli4jIVcZr4RcWFkZJSYmx7HQ6sdnO7z4kJIT777+fkJAQAOLj49m7d2+l4RccHEyLFi2qt2gREfErnnaKvDbsGRsbS05ODgAFBQU0a9bMaDt06BBDhgzh3LlznD17ll27dtGyZUtvlSYiIibjtZ5fjx49yM3NJTk5GZfLRXp6OpmZmTRu3JjExET69u3L4MGDCQwMpF+/ftx6663eKk1EREzG4nK5XL4u4rew2+0a9hQRETeeZoNuchcREdNR+ImIiOko/ERExHQUfiIiYjoKPxE/dvLkSebOncv333/v61JE/IrCT8SPrV+/ngMHDrBu3TpflyLiVxR+In7q5MmTbNmyBZfLxZYtW9T7E7kMCj8RP7V+/Xq3ZfX+RDyn8BPxU1u3bq10WUR+ncJPxE85nc5Kl0Xk1yn8RETEdLw2sbVIZbZv305ubq6vy/B7zz77rK9L8BudOnWiQ4cOvi5DfEThV8WysrI4cuSIr8vwOz/88IOuVqwC+tvz3IYNG/Qfrt+oUaNGJCUl+bqM38Vvn+qQu2oVR154wddlXOB/R45w+swZrFarr0uRq9yJJk34vnlzsFjA5SLcbqfOf//r67LkKnfu3DlCatTgxkaNfF3KRbVZsMCjpzqo51fFfmjQgBMNGpz/QhLxhv/7/+uZBg34fw0a+LgYueq5XNT55htfV/G7+W341Y2MpNO//uXrMi7wwgsv8P3Bg74uw++Ul5dz7tw5X5fhV355dWdp3boEBOgaNk9ZrVZsNr/9CvSpugkJJP/5z74u46LsdrtH6+mTr2J/vkL/IK50uuDl8u3bt++C92655RYfVOKfdMGLuSn85IrQoUMHfRFdprFjx17w3qRJk3xQiYj/0RiJiIiYjsJPRERMR+EnIiKmo/AT8VP16tWrdFlEfp3CT8RPjRs3zm35oYce8lElIv5H4Sfipxo3bmz09urVq0ejK3TGDZErkcJPxI8NHToUi8VCSkqKr0sR8SsKPxE/VlBQAMCuXbt8XImIf1H4ifipkydPsm3bNlwuF9u2bdNTMUQug8JPxE+tX7/emN/T6XSybt06H1ck4j+8Fn5Op5MZM2aQlJRESkoKhw8fvug6Y8aM4e233/ZWWSJ+Ky8vz5gM/Ny5c+Tl5fm4IhH/4bXwy87OpqysjKysLCZOnEhGRsYF67zwwgsauhHxUFxcnPHcSKvVSlxcnI8rEvEfXgu//Px8EhISAIiOjmbPnj1u7e+//z4Wi4U777zTWyWJ+LU+ffpQ8Sxql8vFPffc4+OKRPyH157q4HA4CAsLM5atVivl5eXYbDb27dvHunXrePHFF5k/f75H2ystLfX4uU0iVyOHw2Gc83O5XOzfv5/Q0FAfVyXiH7wWfmFhYZSUlBjLTqfTeJDkqlWrKCoqYvjw4Rw9epTAwEAaNmxYaS8wODjYo0fVi1ytli5dSkBAAE6nE4vFQmFhIUOHDvV1WSI+dcU9zDY2NpbNmzfTu3dvCgoKaNasmdH2xBNPGK/nzZtHvXr1NPwpcgl5eXluV3vm5eUp/EQ85LVzfj169CAoKIjk5GRmzZrF5MmTyczM5KOPPvJWCSJXFV3wIvLbWVwVZ8z9jN1u17CnmNrJkyeZOnUqZ8+eJTAwkPT0dMLDw31dlohPeZoNusldxE9FRETQsWNHLBYLHTt2VPCJXAavnfMTkarXp08fvv76a93mIHKZFH4ifiwiIoLHH3/c12WI+B0Ne4qIiOko/ERExHQUfiIiYjoKPxERMR2Fn4iImI7CT0RETEfhJyIipqPwExER0/E4/CqexC4iIuLvPJ7hZebMmZw+fZru3bvTt29f4uPjCQhQx1FERPyPx+G3ZcsWdu7cyYYNG3jiiSdwuVz06tWLPn36EBsbW501ioiIVKnf9Egjp9PJjh072LhxI++++y5169alT58+/OEPf6Bp06bVUOaF9EgjERH5pWp7pNGZM2f44IMPePvtt3nvvfe49tpr6du3L8XFxQwcOJDMzMzfVLCIiIi3eDzs+f7777NhwwZycnIIDQ2ld+/eZGZmEhUVZazTunVrnn32WUaOHFktxYqIiFQFj8Nv+vTp9OjRg5dffpn4+HgsFssF67Rs2ZLRo0dXaYEiIiJVzePwmzRpEv379yc4ONjt/VOnTrFixQpSUlKIiopy6wmKiIhciSoNv+LiYk6dOgVAamoqLVq0oE6dOm7r2O125s6dS0pKSvVVKSIiUoUqDb+dO3cyfvx4Y4hz8ODBbsOdFReKDhgwoBpLFBERqVqVhl/Pnj3ZtGkTTqeT7t27884771C3bl2j3WKxULNmTSIiIqq9UBERkapyyXN+N9xwAwB79+6t9mJERES8odLwGzp0KAsWLKB27doMHTq00g0tXbq0SgsTERGpLpWGX4cOHQgMDDRei4iIXA1+0/RmFY4fP06dOnUues9fddP0ZiIi8ktVPr3Zd999x8SJE7Hb7ZSVlTF8+HA6depE9+7dOXDgwO8qVkRExJs8Dr+nn36ab775htq1a7N69Wq++OILlixZwh133MHMmTOrs0YREZEq5fEML9u2bWP58uU0bNiQjRs30rVrV9q2bWtMbH0pTqeT1NRUCgsLCQoKIi0tjSZNmhjtS5cuZeXKlVgsFh555BG6du36245IRETkEjzu+dlsNlwuF6dOnSIvL4/OnTsD54dDQ0NDL/nzFU+Cz8rKYuLEiWRkZBhtx48f56233mLZsmUsWrSI1NRUfsepSBERkUp53PPr0KEDU6dOpWbNmgQHB9O1a1e2bdvGM888Q2Ji4iV/Pj8/n4SEBACio6PZs2eP0Va3bl1Wr16NzWbj6NGj1K5d2ycX0YiIiDl43PNLS0ujdevWhISEsHDhQkJDQ9m/fz9dunRhypQpl/x5h8NBWFiYsWy1WikvLzeWbTYbS5YsISkpiZ49e17mYYiIiHjO455fWFgY06ZNc3tv+PDhHu8oLCyMkpISY9npdGKzue9+2LBhDB48mAceeIBPPvmE+Pj4X91eaWkpdrvd4/2LiIhU8Dj8ysrKWLlyJZ9//jnl5eUXnJObM2dOpT8fGxvL5s2b6d27NwUFBTRr1sxo++qrr3j++eeZN28egYGBBAUFERBQeac0ODhY9/mJiIgbTztFHofftGnT+PDDD0lISHAbvvRUjx49yM3NJTk5GZfLRXp6OpmZmTRu3JjExESaN29OUlISFouFhIQE2rdvf9n7EBER8YTHM7zExcUxa9YsunXrVt01eUQzvIiIyC9V+QwvNWrUoFGjRr+rKBERkSuBx+H3yCOPkJ6ezoEDBygtLcXpdLr9ExER8Rcen/ObP38+xcXFvzqbi668FBERf+Fx+M2dO7c66xAREfEaj8Ov4urLoqIiDh48SHR0NA6Hg3r16lVbcSIiItXB43N+JSUlPPbYY3Tu3JlRo0bx7bffMn36dJKTkykuLq7OGkVERKqUx+E3e/ZsTpw4wUcffURwcDAATz75JHB+6jMRERF/4XH4bdq0icmTJ9OwYUPjvSZNmpCamkpubm61FCciIlIdPA6/M2fOEBgYeMH7ZWVlevyQiIj4FY/DLzExkeeee44ffvjBeO/QoUM888wzdOnSpTpqExERqRYeh9/06dMJCgoiPj6e06dP069fP3r16kVERARTp06tzhpFRESqlMe3Opw4cYIBAwbQsmVLIiMjOXz4MAkJCdx8883VWZ+IiEiVu2T4bd++nVmzZrF//363c3sWi4W1a9fy5JNPcvvtt1drkSIiIlWp0mHPjz/+mDFjxtC8eXMWL17MJ598whdffEFeXh6LFi3i5ptvZuTIkezevdtb9YqIiPxulfb85s+fz4gRI3j88cfd3g8PDycuLo64uDjCw8NZsGABCxcurNZCRUREqkqlPb+9e/cyYMCASjcwaNAg/vOf/1RpUSIiItWp0vA7c+YM4eHhlW6gTp06mt5MRET8SqXh53K5CAio/G4Ii8VSpQWJiIhUt0te7blu3TpCQ0N/td3hcFRpQSIiItWt0vC74YYbeOONNy65keuvv77KChIREalulYbfpk2bvFWHiIiI13g8vZmIiMjVQuEnIiKmo/ATERHTUfiJiIjpKPxERMR0FH4iImI6Cj8RETEdhZ+IiJiOx09y/72cTiepqakUFhYSFBREWloaTZo0MdoXLVrE+vXrAejcuTOPPvqot0oTERGT8VrPLzs7m7KyMrKyspg4cSIZGRlG25EjR1izZg3Lli0jKyuLjz/+mL1793qrNBERMRmv9fzy8/NJSEgAIDo6mj179hhtDRo04LXXXsNqtQJQXl5OcHCwt0oTERGT8Vr4ORwOwsLCjGWr1Up5eTk2m43AwEDq1q2Ly+Vizpw53Hbbbdx0002Vbq+0tBS73V7dZYuIyFXIa+EXFhZGSUmJsex0OrHZftp9aWkpU6ZMITQ0lKeeeuqS2wsODqZFixbVUquIiPgnTztFXjvnFxsbS05ODgAFBQU0a9bMaHO5XDz88MNERkYyc+ZMY/hTRESkOnit59ejRw9yc3NJTk7G5XKRnp5OZmYmjRs3xul08umnn1JWVsbWrVsBmDBhAjExMd4qT0RETMTicrlcvi7it7Db7Rr2FBERN55mg25yFxER01H4iYiI6Sj8RETEdBR+IiJiOgo/ERExHYWfiIiYjsJPRERMR+EnIiKmo/ATERHTUfiJiIjpKPxERMR0FH4iImI6Cj8RETEdhZ+IiJiOwk9ERExH4SciIqaj8BMREdNR+ImIiOko/ERExHQUfiIiYjoKPxERMR2Fn4iImI7CT0RETEfhJyIipqPwExER01H4iYiI6Sj8RETEdBR+IiJiOl4LP6fTyYwZM0hKSiIlJYXDhw9fsM7x48e56667KC0t9VZZIiJiQl4Lv+zsbMrKysjKymLixIlkZGS4tW/dupVRo0bx3XffeaskERExKa+FX35+PgkJCQBER0ezZ88e90ICAsjMzCQiIsJbJYmIiEnZvLUjh8NBWFiYsWy1WikvL8dmO19Cp06dLmt7paWl2O32Kq1RRETMwWvhFxYWRklJibHsdDqN4PstgoODadGiRVWUJiIiVwlPO0VeG/aMjY0lJycHgIKCApo1a+atXYuIiLjxWs+vR48e5ObmkpycjMvlIj09nczMTBo3bkxiYqK3yhAREcHicrlcvi7it7Db7Rr2FBERN55mg25yFxER01H4iYiI6Sj8RETEdBR+IiJiOgo/ERExHYWfiIiYjsJPRERMR+EnIiKmo/ATERHTUfiJiIjpKPxERMR0FH4iImI6Cj8RETEdhZ+IiJiOwk9ERExH4SciIqaj8BMREdNR+ImIiOko/ERExHQUfiIiYjoKPxERMR2Fn4iImI7CT0RETEfhJyIipqPwExER01H4iYiI6Sj8RETEdBR+IiJiOl4LP6fTyYwZM0hKSiIlJYXDhw+7tS9fvpyBAwcyePBgNm/e7K2yRETEhGze2lF2djZlZWVkZWVRUFBARkYGCxYsAODbb79l8eLFrFixgtLSUoYMGUKnTp0ICgryVnkiImIiXuv55efnk5CQAEB0dDR79uwx2j777DNiYmIICgqiVq1aNG7cmL1793qrNBERMRmv9fwcDgdhYWHGstVqpby8HJvNhsPhoFatWkZbaGgoDoej0u2VlpZit9urrV4REfE/paWlHq3ntfALCwujpKTEWHY6ndhstou2lZSUuIXhxURHR1dPoSIictXz2rBnbGwsOTk5ABQUFNCsWTOjLSoqivz8fEpLS/nxxx/58ssv3dpFRESqksXlcrm8sSOn00lqair79u3D5XLE7p2RAAAAY0lEQVSRnp5OTk4OjRs3JjExkeXLl5OVlYXL5eLBBx+kZ8+e3ihLRERMyGvhJyIicqXQTe4iImI6Cj8RETEdhZ+IiJiOwk9ERExH4SciIqaj8BMREdNR+ImIiOko/ERExHT+P8Enyta14OvCAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,4))\n",
    "\n",
    "conspiracybp= sns.boxplot(y=\"estimate\", data=conspiracy_country,color='darkgray')\n",
    "conspiracybp.set_ylabel('Density',fontsize=14)\n",
    "conspiracybp.set_title('Conspiracy Theory', fontsize=16, fontweight='bold')\n",
    "conspiracybp.text(-0.5, 0.612, \"C\", fontsize=16,fontweight='bold')\n",
    "conspiracybp.axhline(y=conspiracy_val, color='darkred', linestyle='-',zorder=1)\n",
    "conspiracybp.set_ylim(0.0,0.6)\n",
    "plt.savefig(\"output/figures/fig_a2_conspiracy_country.png\",dpi=400,bbox_inches='tight')\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    " plt.figure(figsize=(7,4))\n",
    "\n",
    "prepperbp= sns.boxplot(y=\"estimate\", data=prepper_country,color='darkgray')\n",
    "prepperbp.set_ylabel('Density',fontsize=14)\n",
    "prepperbp.set_title('Survivalism', fontsize=16, fontweight='bold')\n",
    "prepperbp.text(-0.5, 0.307, \"D\", fontsize=16,fontweight='bold')\n",
    "prepperbp.axhline(y=prepper_val, color='darkred', linestyle='-',zorder=1)\n",
    "prepperbp.set_ylim(0.0,0.3)\n",
    "plt.savefig(\"output/figures/fig_a2_prepper_country.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Figure A.3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,4))\n",
    "\n",
    "recessionbp= sns.boxplot(y=\"estimate\", data=recession_region,color='darkgray')\n",
    "recessionbp.set_ylabel('Density',fontsize=14)\n",
    "recessionbp.set_title('Recession', fontsize=16, fontweight='bold')\n",
    "recessionbp.text(-0.5, 0.307, \"A\", fontsize=16,fontweight='bold')\n",
    "recessionbp.axhline(y=recession_val, color='darkred', linestyle='-',zorder=1)\n",
    "recessionbp.set_ylim(0,0.3)\n",
    "plt.savefig(\"output/figures/fig_a3_recession_reg.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure(figsize=(7,4))\n",
    "\n",
    "stockbp= sns.boxplot(y=\"estimate\", data=stockmarket_region,color='darkgray')\n",
    "stockbp.set_ylabel('Density',fontsize=14)\n",
    "stockbp.set_title('Stock Market Crash', fontsize=16, fontweight='bold')\n",
    "stockbp.text(-0.5, 0.815, \"B\", fontsize=16,fontweight='bold')\n",
    "stockbp.axhline(y=stockmarket_val, color='darkred', linestyle='-',zorder=1)\n",
    "stockbp.set_ylim(0.0,0.8)\n",
    "plt.savefig(\"output/figures/fig_a3_stock_reg.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,4))\n",
    "\n",
    "conspiracybp= sns.boxplot(y=\"estimate\", data=conspiracy_region,color='darkgray')\n",
    "conspiracybp.set_ylabel('Density',fontsize=14)\n",
    "conspiracybp.set_title('Conspiracy Theory', fontsize=16, fontweight='bold')\n",
    "conspiracybp.text(-0.5, 0.612, \"C\", fontsize=16,fontweight='bold')\n",
    "conspiracybp.axhline(y=conspiracy_val, color='darkred', linestyle='-',zorder=1)\n",
    "conspiracybp.set_ylim(0.0,0.6)\n",
    "plt.savefig(\"output/figures/fig_a3_conspiracy_reg.png\",dpi=400,bbox_inches='tight') \n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,4))\n",
    "\n",
    "prepperbp= sns.boxplot(y=\"estimate\", data=prepper_region,color='darkgray')\n",
    "prepperbp.set_ylabel('Density',fontsize=14)\n",
    "prepperbp.set_title('Survivalism', fontsize=16, fontweight='bold')\n",
    "prepperbp.text(-0.5, 0.307, \"D\", fontsize=16,fontweight='bold')\n",
    "prepperbp.axhline(y=prepper_val, color='darkred', linestyle='-',zorder=1)\n",
    "prepperbp.set_ylim(0.0,0.3)\n",
    "plt.savefig(\"output/figures/fig_a3_prepper_reg.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Figure A.4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "colorsmain2=sns.hls_palette(12)[4:11]\n",
    "colorsmain=sns.hls_palette(12)[0:4]\n",
    "\n",
    "opinionmale=pd.read_stata('output/figures/raw/opinions_male.dta')\n",
    "opinionmalemale= opinionmale.loc[opinionmale['male']==1]\n",
    "opinionmalefemale= opinionmale.loc[opinionmale['male']==0]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set_style(\"whitegrid\")\n",
    "fig = plt.figure(figsize=(3,4))\n",
    "\n",
    "figuregender1 = sns.lineplot(x='date',y='ind_impact_1',data=opinionmalemale, zorder=1, alpha=1, color = colorsmain2[1], label ='Men')\n",
    "figuregender1 = sns.lineplot(x='date',y='ind_impact_1',data=opinionmalefemale, zorder=1, alpha=1, color = colorsmain2[6], label ='Women')\n",
    "figuregender1 = sns.scatterplot(x='date',y='ind_impact_1',data=opinionmalemale, zorder=1, alpha=1, color = colorsmain2[1], label ='')\n",
    "figuregender1 = sns.scatterplot(x='date',y='ind_impact_1',data=opinionmalefemale, zorder=1, alpha=1, color = colorsmain2[6], label ='')\n",
    "figuregender1.set_title('\"The World will be severely\\naffected by the coronavirus\"\\n', fontweight='bold',fontsize=13)\n",
    "figuregender1.set(ylim=(0, 1))\n",
    "figuregender1.set(xlim=(0.75, 2.25))\n",
    "figuregender1.set_ylabel('Fraction Agreeing', fontsize=12)\n",
    "figuregender1.set_xlabel('Date', fontsize=12)\n",
    "figuregender1.set_xticks([1,2])\n",
    "figuregender1.set_xticklabels(['March 5','March 16'], fontsize=12)\n",
    "figuregender1.set_yticklabels(['0%','20%','40%','60%','80%','100%'], fontsize=12)\n",
    "figuregender1.legend(['Men','Women'],fontsize=12,loc='lower right')\n",
    "\n",
    "fig.savefig(\"output/figures/figuregender_1_a4.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "fig = plt.figure(figsize=(3,4))\n",
    "\n",
    "figuregender2 = sns.lineplot(x='date',y='ind_impact_2',data=opinionmalemale, zorder=1, alpha=1, color = colorsmain2[1], label ='Men')\n",
    "figuregender2 = sns.lineplot(x='date',y='ind_impact_2',data=opinionmalefemale, zorder=1, alpha=1, color = colorsmain2[6], label ='Women')\n",
    "figuregender2 = sns.scatterplot(x='date',y='ind_impact_2',data=opinionmalemale, zorder=1, alpha=1, color = colorsmain2[1], label ='')\n",
    "figuregender2 = sns.scatterplot(x='date',y='ind_impact_2',data=opinionmalefemale, zorder=1, alpha=1, color = colorsmain2[6], label ='')\n",
    "figuregender2.set_title('\"The US will be severely\\naffected by the coronavirus\"\\n', fontweight='bold',fontsize=13)\n",
    "figuregender2.set(ylim=(0, 1))\n",
    "figuregender2.set(xlim=(0.75, 2.25))\n",
    "figuregender2.set_ylabel('Fraction Agreeing', fontsize=12)\n",
    "figuregender2.set_xlabel('Date', fontsize=12)\n",
    "figuregender2.set_xticks([1,2])\n",
    "figuregender2.set_xticklabels(['March 5','March 16'], fontsize=12)\n",
    "figuregender2.set_yticklabels(['0%','20%','40%','60%','80%','100%'], fontsize=12)\n",
    "figuregender2.legend(['Men','Women'],fontsize=12,loc='lower right')\n",
    "\n",
    "fig.savefig(\"output/figures/figuregender_2_a4.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "fig = plt.figure(figsize=(3,4))\n",
    "\n",
    "figuregender3 = sns.lineplot(x='date',y='ind_worry_corona_econ',data=opinionmalemale, zorder=1, alpha=1, color = colorsmain2[1], label ='Men')\n",
    "figuregender3 = sns.lineplot(x='date',y='ind_worry_corona_econ',data=opinionmalefemale, zorder=1, alpha=1, color = colorsmain2[6], label ='Women')\n",
    "figuregender3 = sns.scatterplot(x='date',y='ind_worry_corona_econ',data=opinionmalemale, zorder=1, alpha=1, color = colorsmain2[1], label ='')\n",
    "figuregender3 = sns.scatterplot(x='date',y='ind_worry_corona_econ',data=opinionmalefemale, zorder=1, alpha=1, color = colorsmain2[6], label ='')\n",
    "figuregender3.set_title('\"Are you worried about the\\neffects of the coronavirus\\non the US economy?\"', fontweight='bold',fontsize=13)\n",
    "figuregender3.set(ylim=(0, 1))\n",
    "figuregender3.set(xlim=(0.75, 2.25))\n",
    "figuregender3.set_ylabel('Fraction Indicating \"Worried\"/\"Very Worred\"', fontsize=12)\n",
    "figuregender3.set_xlabel('Date', fontsize=12)\n",
    "figuregender3.set_xticks([1,2])\n",
    "figuregender3.set_xticklabels(['March 5','March 16'], fontsize=12)\n",
    "figuregender3.set_yticklabels(['0%','20%','40%','60%','80%','100%'], fontsize=12)\n",
    "figuregender3.legend(['Men','Women'],fontsize=12,loc='lower right')\n",
    "\n",
    "fig.savefig(\"output/figures/figuregender_3_a4.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "fig = plt.figure(figsize=(3,4))\n",
    "\n",
    "figuregender4 = sns.lineplot(x='date',y='ind_worry_perecon',data=opinionmalemale, zorder=1, alpha=1, color = colorsmain2[1], label ='Men')\n",
    "figuregender4 = sns.lineplot(x='date',y='ind_worry_perecon',data=opinionmalefemale, zorder=1, alpha=1, color = colorsmain2[6], label ='Women')\n",
    "figuregender4 = sns.scatterplot(x='date',y='ind_worry_perecon',data=opinionmalemale, zorder=1, alpha=1, color = colorsmain2[1], label ='')\n",
    "figuregender4 = sns.scatterplot(x='date',y='ind_worry_perecon',data=opinionmalefemale, zorder=1, alpha=1, color = colorsmain2[6], label ='')\n",
    "figuregender4.set_title('\"Are you worried about the effects\\nof the coronavirus on your\\nhousehold’s economic situation?\"', fontweight='bold',fontsize=13)\n",
    "figuregender4.set(ylim=(0, 1))\n",
    "figuregender4.set(xlim=(0.75, 2.25))\n",
    "figuregender4.set_ylabel('Fraction Indicating \"Worried\"/\"Very Worried\"', fontsize=12)\n",
    "figuregender4.set_xlabel('Date', fontsize=12)\n",
    "figuregender4.set_xticks([1,2])\n",
    "figuregender4.set_xticklabels(['March 5','March 16'], fontsize=12)\n",
    "figuregender4.set_yticklabels(['0%','20%','40%','60%','80%','100%'], fontsize=12)\n",
    "figuregender4.legend(['Men','Women'],fontsize=12,loc='lower right')\n",
    "\n",
    "fig.savefig(\"output/figures/figuregender_4_a4.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "opinionage=pd.read_stata('output/figures/raw/opinions_ageold.dta')\n",
    "opinionageold= opinionage.loc[opinionage['ageold']==1]\n",
    "opinionageyoung= opinionage.loc[opinionage['ageold']==0]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+EK6urmLixIlCCCF+/PFH4erqKlasWCGio6PFzp07haurq5g3b56Ij48Xrq6uYtCgQcr21q1bJ44cOSKEEGLixInC1dVV/PHHH0IIIQYPHqxsKzo6WkydOlW4urqK//3vfyI0NFS4urqKWbNmCSGEyMnJEV5eXsLV1VVcv369wH7NmjVLuLq6ijlz5gghhMjKyhJt2rQRnp6eShyurq5izZo1IjMzU3h6eoq+ffsW+h0tXrxYuLq6io0bN+b7Dt58800hhBDZ2dnC3d1d+Pj4FLsfD8r77M2bN4UQQpw4cUJs375d3LlzR3z66afC1dVV7N27V9nnLl26CHd3d5GRkVFgH4UQJV5m7ty5Qgghzp8/L1xdXcWwYcOEEEJotVpx7tw5kZqaKg4fPiw6deok3N3dhRBCxMfHC3d3d/HOO+8IIYQIDg4WzZo1E+np6UIIIVxdXUX37t2FEEJs3LhRuLq6inHjximxPXjuCCGEp6en8PLyEkIIMX78eOHm5ia+//57cfz4cXH16lWh0WgKPSYl8dTWaXU6HStXrmTDhg1UrVpVmTpGp9OVaPmHDbfKG1dZu3Zt5fXevXsXua681tlevXoVWFdycjLw79A5c3Nz6tatW2xds06dOgBYWFjg7OzMqVOn0Gg0dO3alUmTJrF7925q1KiBRqMpdSNKXixqtRorKyvlEvRh+9G8efN8r8XFxWFhYaFMR9OiRQvlvbx9y7vaMTc3p2HDhly9ejXffhc2/K24ZfJir1ChAoByFXDz5k2+/vprzp8/T+PGjcnMzFTOherVq/Of//yHgwcPcvLkSc6dO0fv3r0f2r/7YcMhIf95FhISQmZmJr/88gsLFizA1taW/v37FxhYX1JPbdKGhoaybNkyxo4dy6BBg1i6dKlSjyiJhw23un+4W54ZM2ag0+n44IMPlHGi4l6/lWrVqnH16lW+/fZbLC0tuXnzJhYWFrRs2VKJKW9dOp1OGf71MJcuXSIgIICcnBxu3LiBg4ODcpJ17NiR/fv3Y29vj7m5OV27di10HQ/GmedhwxCL2o8H1axZk6ioKK5fv46LiwuHDx/mt99+o2/fvsqPXWRkJE5OTuj1ei5duoRarc7XAHj/8LeSLpMXe96+5RkzZgynT5/m8OHDVKlShR49eij1Xcj9Idq/fz9ffPEFQLGXvffHljdqKq9OnJKSQmZmpvL+33//TYcOHfj666+JjIxkxowZLF68GC8vr3w/ZiX11CZt3om4ceNGEhIS2LBhA5A7cL0kAgICmD9/Ptu3b0ev13P06FGlfteiRQvatWvHoUOH+Oijj7Czs2Pt2rW0b98etVqtjAb55ZdfSE1NVRor1q1bh6enJ2FhYdy9e5fffvuNjh07UqlSJRYuXEhycjJXr14t0bxLP//8M2lpaVy/fp1bt27lqwf16NGDXbt2sXPnTtq1a1dky2denFu2bEEIUWzp8bD9eFBwcDCHDh1i+PDheHl5sXnzZpKSknj33Xd57bXXCA0NZezYsQQHB3P+/Hn+/vtvBg8eXGTL6aMs8yC9Xs9XX31FTk4Oly5dAnIbqCwtLenYsSPVqlXj0qVLvPDCC6WaPTFvQP+uXbuoX78+4eHh+bonLly4kP3797N3717q1q3L1atXUavVypjf0npqG6KCgoLo0qULN27cYPv27QQFBQGU+P5rccOtpk2bRmBgIEeOHGHnzp107dpVaY3t0aOH0hBy8eJFevbsyejRo7l+/TrLli2jSpUqLFiwgFq1auHg4MCCBQuoX78+GzduxNHRURkD+zDjx4/n5MmTnD59mqCgIEaPHq2816FDBypWrAg8fO6hTp060bhxY06ePJlvYrWiPGw/HtS9e3c+//xzsrKyWL58OY6OjsybNw9nZ2c8PDxYvHgxzz//PKtWrSIuLo4PP/yQjz76qMhtP8oy9xs/fjz169dnz549XL9+XRmKl3c+qNVq5XsvSePS/WrUqMEnn3yCubk5ixcvpmvXrspsHJDbOBYUFMSxY8dYtmwZFStWZMaMGUoVp7Rk3+OnkF6vx8fHh/j4eI4cOfJEp4KVyt9Te3n8rFq9ejUnTpwgJiYGPz8/mbBPIZm0T5mDBw9y6NAhWrZsyfjx48s7HKkMyMtjSTIxT21DlCQ9rWTSSpKJkUkrSSZGJq0kmRiZtJJkYmTSSpKJkUkrSSZGJq0kmRiZtJJkYmTSSpKJkUkrSSamzJNWCMGYMWNYsmQJkDszw1dffUXXrl3x8fFh9erVymejo6MZMGAAfn5+9OrVi6ioKCB3oPKQIUPw8fHhs88+Uz5/7do13nrrrbLeBUkyKmWatFFRUbz55pv5ZjZYs2YN0dHRbNu2jQ0bNrB8+XJlypWPP/6Yvn37smPHDkaOHMkHH3yAEIKDBw9Ss2ZNdu/ezY0bN7h8+TIAU6ZMKXZiZ0l62pRp0q5cuZLevXvnm6Noz549BAcHo1arqVixIt27dycsLIz4+Hj+/vtvZaaFDh06oNFouHDhApaWlmg0GrKystBqtVhYWLB//35q1qxJw4YNy3IXJMnolOl42rxL2cOHDyuvxcXFUbNmTeVvJycnLl26RFxcHNWrV883qViNGjW4efMmXl5e/PrrrwQFBdG1a1dq167NmDFjCkzAXZyTJ08WmPCrLOn1+iInSZOMm6GPnUqlwtPTs0SfNfggeCFEvsQRQmBmZoZery+QUEIIzM3NMTMz46uvvlJenzt3Lr169eLu3buMHz+enJwcPvjgA2V6zaLY2Njg7u7+ZHfoISIjIw26PenJMfSxi4yMLPFnDV4M1KxZk4SEBOXvhIQEnJycqFWrFrdu3co3nWfee/eLjY3l6NGj9OrVi9mzZzNo0CAmTpzI5MmTDbYPklSeDJ603t7ebNy4kZycHFJSUti+fTudO3fGycmJOnXqsGPHDiB32hQzMzNcXV3zLT916lQ+/vhjzMzMyMrKwtzcHJVKhVarNfSuSFK5MPjlcb9+/bh27RqBgYFkZ2fTp08fXnnlFQC+//57Pv30U+bPn4+lpSUzZ87MV684cuQIdnZ2yrX/oEGDGDduHEIIOR+S9Mx4puaIKo96iqzTmiZjPldk06YkmRiZtJJkYmTSSpKJkUkrSSZGJq0kmRiZtJJkYmTSSpKJkUkrSSZGJq0kmRiZtJJkYmTSSpKJkUkrSSZGJq0kmRiZtJJkYmTSSpKJkUkrSSZGJq0kmRiZtJJkYmTSSpKJkUkrSSZGJq0kmRiZtJJkYmTSSpKJkUkrSSZGJq0kmRiZtJJkYmTSSpKJkUkrSSZGJq0kmRiZtJJ0HyH05GQkUdepIjkZSQihL++QCjD482klyVgJoSfr7nXi9k8nJ/0Wartq1PT6GMvKLqhUxlO+GU8kklSOhNCjvXWFG7snk5N+C4Cc9FvE7Z+OTptSztHlJ0ta6ZmUo7mDNvEvMhOj0N7+m8zEKPTZmoKfS7+F0OWUQ4RFk0krPfV0mWlk3o5Cm/g3mYl/ob39N7qMu7lvqsyxquyC/fNtsHCoSdL5bf++B6jtqqEyN640Ma5oJOkx6XMyybwTnZuciVFk3v6b7NSbyvsWDrWwrdkYK8d6WFetj2XlupipLYHcS2RbJ48CdVpza4fy2p1ClUvS7t69m1mzZmFmZkbFihWZPHkytWvXZurUqRw8eBCdTsfgwYPp168fAGvWrGHx4sU4ODgwc+ZMXFxcABgyZAhjx46lXr165bEbUjkT+hyy7l5HezuKzMS/0d7+i6ykGLjX4qu2rYJV1fo41PfCquoLWDm+gLmlXZHrU6nMsKzsgrPfl2RpNVha22Ju7WBUjVBQDkmr1WoJCQlhy5Yt1K1bl2XLljF58mQ6dOhAdHQ027ZtIz09nT59+tC4cWOaNGnCwoUL2blzJ3v27GHVqlWMGTOGnTt3Ur9+fZmwzwgh9GSn3sxNzsS/yLwdReadaIQuGwAzS3usq9bDzrk51lXrY1W1HmqbSqXejkplhtqmElei43B3r/Wkd+OJMHjS6nQ6hBCkpqYCkJ6ejpWVFXv27OG1115DrVZTsWJFunfvTlhYGE2aNMHCwoKMjAxSU1OVf//0008sXbrU0OFLBvKwhiKV2gqrKs9R0c333mXuC6jta6BSqco5asMweNLa2dkxceJE+vbtS6VKldDr9axevZqhQ4dSs2ZN5XNOTk5cunQJgNGjRzNw4ECqV6/ON998w4IFCxgwYAD29val2nZmZiaRkZFPdH8eRqvVGnR7JisnA1V6LKr0G//+PzsNAKEyA5sa6Cu5I+xqIexqg001slRmpAJogZi7wN2HbKD0jPnYGTxpL126xNy5c9mxYwd16tTh559/ZuTIkej1+ny/lEIIzMxy6xJdunShS5cuAFy7do1Tp07xwQcf8NVXXxEdHU2bNm0YNGhQsdu2srLC3d29bHasEJGRkQbdninQ52SSefvqvdbcKDJvR5GdGq+8b+FQC2uXZvdK0HpYVqmLmbmlweITQo9Gl4I2S4O1pS225oap05bmB8LgSXvo0CFeeukl6tSpA8CAAQOYMmUKLVu2JCEhQflcQkICTk5OBZafMmUKY8aM4ciRI6Snp7Nw4UIGDx5Mp06dqFu3rsH2Qype/oaiKLS3ox5oKHLEqmo9HOp3wqpqvXsNRbblF6/Qk5h1nW1x00nNuUUFdTX8a35MVUvj6hFl8KRt1KgRK1euJDExkapVq7Jnzx6cnZ3x9vZm48aNeHl5odFo2L59OxMnTsy37P79+6lRowaNGjVi3759qNVqVCoVKpUKrVZr6F2R7vNvQ9G/JWihDUUuLbB2rPfIDUVlRSdyiE4/xe6EeWTpc+vOqTm32BY3ndecv8RObTyxGjxpW7duzdtvv83AgQOxsLCgYsWKzJs3j+eff55r164RGBhIdnY2ffr04ZVXXlGWy8rKYt68eSxatAiAdu3asXLlSnx8fGjdujVubm6G3pVnlhACnebOvyXovfuh+RuKnr+voageavvqRtVQJISeW1n/EKM5x/WMc8RmXCRbZBb4XGrOLXTCuHpEqYQQoryDMBRD1zGfljqtLjPt39Lz3mWuLiMp902VOVaV62BVtZ5SglpWrI3KzLx8g36AEIKk7DiuZ5zjuuYcNzIuoNXnNnZVtqiNi21jqlk+z7E7G0jT3VaWq6CuZpCStjTniuwRJeWjz9bm9igqqqGoYi1sa75Ybg1FpZGac5sYzXmuZ5wjJuMcaTl3ALBXO/K8XXNcbD1wtmmMvboKkFv6Vrd+oUCd1tZc9oiSjEThDUXX4d7Fl9JQ1KATVo7l31BUnAxdKjEZ55VETcqOA8DarAIuto1xtvHAxcaDihaF39NVqcyoaunCa85fGrz1uDRk0j4jhNCTnXJTKUG1iVFk3b2vociqAtaOL+Q2FFWth5WjcTUUFSZLryU2I5KYjNwkvZX5DyCwUFlT28YdD4fOuNh6lKr1V6Uyw05diWtXZI8oyYDubyjSJuaWoqbWUFQYncjhpvYK1zW5l7s3tX+hR4cZamrauNKqSm9cbBpT3boe5qqn99R+evfsGVJsQ1GVutg/3+ZeQ1H9ew1FxnXJVxi90JOYGZ3beJRxntiMi+SITFSoqG71As0q+eNi25ia1m5YmFmVd7gGI5PWxOQ1FOXVQ4tsKLrXmmvMDUUPEkJwNztWKUljMi6QqU8HoIqlM40dvHC28cDZxh0r86JH6zztZNIaMaHPIfPu9X9L0MQospLvayiyq4qV4wsm01BUmNTsxHsl6TliNOdJ1+X2Ia6grko9u5eVFl47deVyjtR4yKQ1EiVuKKrzMtZVXzCJhqLCZOhSiMm4wPV7nRqSs3MHqNuYO+Bs0xgXGw9cbD1wUBt/Hbu8yKQtA0Lo0WlTlGk4HxxIrTQU3at/FtpQ5PjCfQ1F9VHbVzPJkzhLn8GNvBZezTkSs/4BwEJlQ20bd5pU9MXFxgNHSxeT3L/yIJP2CStsGs7qbYcjdFoyb19VGoyUhiIzc6wq32soqlofK8d6JtNQVJgckc3NjMvKbZh4bRR6dJirLKhp7UrrKn1wtvWghtULmKmMq9eUqZBJ+4TptClKwkLubH6xu/IGPqiwqFgT25pNsKr6gsk1FBVGL/Tcyrxln44xAAAgAElEQVSqdA+M014iR2Tda+Gtx0uV/XGx8aCmtRtqM9PdT2Mik/YJE7psJWHvV6P9KOxqe2JmYg1FDxJCcCf7htLRPibjgjIqxtHSBQ8Hb5xtG1PbuhFW5qa9r8ZKJu0TpjK3QG1XLV/iqu2qYePUyGQTNiX71r3W3dz7pRpd7qW9g7o6Dexb3WtAaoytEQ1fe5rJpH3CzK0dqOn1sdFPw/kwmpxkpU56XXOOlJzcyQlszSvmJqitB842HlS0qF7OkT6bik3agQMH5mvVU6lU2NjY0KBBA4YOHVrqeZqedqYyDef9MvUaYjMi792GOc/trGsAWJrZUNumEZ6VuuFi40EVS2fZwmsEik3a+vXrc+3aNfr27YuZmRmbNm3C0tISrVbLF198wfTp0w0Rp0kx9mk4c/RZxGkvK7dh4jOjEOgxV1lQy9oN1yp9cbH1oLrV87KF1wgVm7Rnzpxh7dq1qNW5H+3QoQP9+/fn+++/x9/fv8wDlB6fXuhIyPyb65rzxGScI1Z7CZ3IRoUZNazq0aJyIM42HtS0biBbeE1AsUmbmprK/ZNb6PV6NJrc1kIzE72X+LQTQnAnK4brGWe5nnGeGxkXyNJnAFDVsg4v3huyVsvGHSsz02wce5YVm7ReXl4MHjyYoKAghBCEhYXRsWNHwsLCqFq1qiFilEogOTvhvo7259HokgGoaFGDBvatcbHJ7cNrq65YzpFKj6vYpB0zZgzr1q1j7969qNVqAgMDCQ4O5siRI0yZMsUQMUqF0OQkcf1eC2+M5vx9LbyVcLF5EWfb3H68DhbVyjlS6UkrNmnNzMwIDg6mW7duymVycnIybdu2LfPgpH9l6jTc0P7b0f5OVgwAlma2ONs0plklP5xtPahiUVu28D7lik3a1atXM2XKFLKzc0ebCCFQqVRG+8iEp0WOPotY7SVi7t0rTcj8G4FArbKkprUbDR3b42LjQTWr5zEz4ttJ0pNXbNIuWbKE1atX07hxY0PE88zSCx3x2iilU0Oc9rLSwutkXZ+XK/fE2dYDJ+sGqFUW5R2uVI6KTdqqVavKhC0DQui5nXX9Xq+j89zIiCRb5LXw1lWGrNWyaYilmU05RysZk2KTtl27dqxatQpvb2+srP6dh6dSJdnPtCh5D3GqXrci6TlJ9+bNVZGcE6/0343JOE+GLgWAihZOuFVoi4utB7VtGhndPLuScSk2aRcuXEhWVhaTJk1SXpN12qI9+BAna7MK1LRxIzEzmtScRADszCtTx7ZJ7iwNNh5UsJC3zqSSK1GPKKnkNLoUJWEBtPpUrqb/SV3bprxUKQAXWw8qW9SSLbzSIysyabds2UJgYGCRT1svyfNgn0U6ka0k7L8EXtXewUGWqNITUGTS/vNP7lw+ly9fNlgwTwNzlQUV1NXyJW4FdbWnevJsybBK/NS8lJQUHBxMu4HEEE+xM5UHE0sPZ8xPWCz2LLp69Sp+fn50796d+Ph4unXrRlRU1GMH+bS6/yFOA2p9z2vOX8qElZ6oYs+kL7/8kgkTJuDo6EiNGjV4/fXX+eyzzwwRm8nKe4hTwj/J2KkryYSVnqhiz6akpKR8/YwHDBhAWlpamQYlSVLRSlQEZGZmKrcobt26hV6vL9OgJEkqWrFJ279/f95++21u377Nd999R58+fejXr99jbfTSpUsMHDiQoKAggoODOXfuHAA//vgjXbt2xcfHh9mzZyujivbt24evry/+/v6cPXtWWc+ECRM4cuTIY8UiSSZHlMDx48fFt99+K6ZOnSoOHTpUkkWKpNFoRNu2bUV4eLgQQojdu3eLLl26iPDwcBEYGCjS09OFVqsVAwYMENu3bxdCCBEUFCTi4+NFRESEGDlypBBCiNOnT4tRo0aVatsXLlx4rNhLy9Dbk54cYz5XSnTz0MXFhVdeeYW2bduSkJDwWD8Shw8fxsXFhQ4dOgDg7e2Ns7MzK1aswN/fH1vb3OlPgoODCQsLw8/PD0tLSzQaDampqVhYWCCEYNq0aXzzzTePFYskmaJikzY8PJwvvvgCMzMz1qxZQ/fu3Zk2bRqdO3d+pA1evXqVatWqMX78eC5evIiDgwMhISHExcXRunVr5XNOTk7Ex+c+dzUkJITRo0djZWXF5MmTWb9+Pa1ataJWrdLNdJiZmWnQPtNarVb20TZRRn3siiuKe/XqJeLj40VgYKBSjAcEBDzyZcC8efNEkyZNxKlTp4QQuZfHbdq0Ea+//rpyOSyEEIcOHRLBwcEFlk9KShK9evUSWq1WzJ8/X7zzzjvi22+/LdG2jfmSRzIuxnyuFNsQpdPpqF7935nk3d3dH6uze/Xq1alXrx5NmzYFoHPnzuh0OszMzPJdeickJODk5FRg+RkzZjBs2DBiY2M5evQoixYtIikpiaNHjz5yTJJkSopNWhsbG2JjY5VE/d///pdvXG1p/ec//yEmJkZpMT5x4gQqlYo333yTsLAwNBoNWVlZhIaGFrgEv3jxInFxcXh7e5OVlaXMxWxmZkZGRsYjxyRJpqTYOu1HH33E4MGDuXXrFn369CE6OprZs2c/8garVavG3LlzmThxIhkZGVhaWjJ79mxatGjB5cuX6d27N9nZ2Xh7exMUFJRv2alTp/L5558D4ObmhqOjIz4+PtSvX5/27ds/ckySZEqKHTCQmJiIpaUlERER6PV6mjZtSpUqVQwV3xNlzJ3AJeNizOdKsSXt66+/zq+//qrcopEkqXwVW6etXbs2J0+elF0XJclIFFvSRkVF0b9/f9RqNZaWlsq8xydPnjREfJIkPaDYpF25cqUh4pAkqYSKTdoTJ04UeM3GxgatVku9evXKJChJkopWbNJu2bKFU6dO0apVK8zNzTl69CguLi6kpKQwdOhQ+vTpY4g4JUm6p9ikValUbNiwQSlVr1+/zuTJk1mxYgX9+/eXSStJBlZs6/GtW7fyXQa7uLgQHx+Pvb095ubmZRqcJEkFFZu0FStWZO3ateh0OnJycli7di2VKlXi6tWr8jaQJJWDYpP266+/ZtOmTbz44os0bdqUbdu28dVXX/Hbb7/x3nvvGSJGSZLuU2ydtk6dOqxZs4aUlBTMzc2xs7PjwIEDDBs2zBDxSZL0gBJPe29pacmmTZv4+eefSUxMLPRWkCRJZa/YpI2Pj2fFihWsW7eO9PR03n33Xd566y0DhCZJUmGKrNOeOXOG0aNH4+vry5UrV/j888+pXr06o0aNMvnHg0iSKSsyaV977TXUajV79uxhwYIF+Pn5ycczSpIRKDJpJ0yYwIULFwgODmbatGlcuXLFkHFJklSEIpN24MCBbNu2jenTp3Pjxg169uzJrVu32Lx5Mzk5OYaMUZKk+xTbENWyZUtatmxJYmIia9euZebMmcyYMYPw8HADhCdJ0oNKfMunatWqjBgxgvfee4/9+/eXZUySJD1EqZ/BaGZmhre3d1nEIklSCcgHp0qSiZFJK0kmpkR12uPHj5OcnMz9s636+vqWWVCSJBWt2KT9v//7P37//Xfq1q2rvKZSqWTSSlI5KTZpjx49yo4dO7C3tzdEPJIkFaPYOm3NmjVlwkqSESm2pH3ppZf473//i5eXF9bW1srr8vJYkspHsUkbEREBwPr165XXZJ1WkspPsUn7yy+/AJCTk4MQAgsLizIPSpKkohVbp719+zbvvPMOnp6eNGnShDfeeIP4+HhDxCZJUiGKTdpJkybh6enJkSNHOHLkCC1atOCLL74wQGiSJBWm2KSNjo7m/fffx8HBgcqVKzNq1CiuXbtmiNgkSSpEsUmbk5NDZmam8ndGRoacwUKSylGxDVF+fn689dZbBAcHo1Kp2LhxI126dDFEbJIkFaLYpB0xYgROTk4cPHgQvV5PcHAwvXr1MkRskiQVosjL47S0NACSkpLw9vbmiy++YNKkSfj4+JCcnPxENr5nzx6aNWum/P3jjz/StWtXfHx8mD17tjJAYd++ffj6+uLv78/Zs2eVz0+YMIEjR448kVgkyVQUWdIOHDiQTZs20apVq3x12LwnwUdGRj7WhqOjo/nmm2+Uvw8cOMDOnTsJDQ3F3Nyct99+m3r16uHn58fs2bNZsWIFsbGxLFq0iFmzZnHmzBnS0tJo06bNY8UhSaamyKTdtGkTABcuXMDMLH+BnJSU9FgbzcjIICQkhLFjx/Lxxx8DsHv3bvz9/bG1tQUgODiYsLAw/Pz8sLS0RKPRkJqaioWFBUIIpk2bli/pJelZUWyd9tVXX1USOM/rr7/Otm3bHnmjn332GX369MHNzU15LS4ujtatWyt/Ozk5KZ04QkJCGD16NFZWVkyePJn169fTqlUratWqVartZmZmPvYVQmlotVqDbk96coz52BWZtG+++SZnz55Fq9Xy0ksvKa/r9XpefPHFR97gypUrUavV9OrVi5iYGOX1vMvu+//OK+FbtGhBaGgoAMnJyaxfv54VK1awYMEC/vzzT1xdXQkJCSl221ZWVri7uz9y7KUVGRlp0O1JT46hj11pfiCKTNq5c+eSlJTE+PHjmTJlyr8LqNVUq1btkYPbtGkTWq2WwMBAsrOzlX83atSIhIQE5XMJCQk4OTkVWH7GjBkMGzaM2NhYjh49yvLly5kwYQJHjx7NV1JL0tOqyNZje3t7nJ2dmTdvHtu2baN27doALF68GK1W+8gb3LBhA9u2bWPLli0sXLgQa2trtmzZgo+PD2FhYWg0GrKysggNDaVz5875lr148SJxcXF4e3uTlZWFWp37m2NmZkZGRsYjxyRJpqTYHlHjxo1TGp4cHBxQqVR8+umnTzyQTp064evrS+/evfH398fDw4OgoKB8n5k6dSpjxowBwM3NDUdHR3x8fEhMTKR9+/ZPPCZJMkqiGP7+/gVeCwgIKG4xo3ThwoWnenvSk2PM50qJ+h7ndbQASE9PzzcroyRJhlXsLZ+goCB69+5N165dUalU7N69m+DgYEPEJklSIYpN2qFDh1K/fn2OHj2KWq3m448/pkOHDoaITZKkQpRosnJvb2/l+T1CCKKjo3nuuefKMi5JkopQbNKuXr2aadOm5bulUqVKFQ4fPlymgUmSVLhik3bRokUsXbqU+fPn8+GHH7J//35u3rxpiNgkSSpEsa3HlSpVomnTpri7u3P79m3ee+89Tpw4YYjYJEkqRLFJq1arSU5Opm7dupw5cwYAnU5X5oFJklS4YpP2tddeY+jQoXTs2JG1a9cSHBxMvXr1DBGbJEmFKLZO6+7uzk8//YStrS1r167l7NmztGvXzhCxSZJUiGJL2o8//lgZmF6jRg06d+6c75k+kiQZVrFJ6+bmxtatW4mNjSUpKUn5T5Kk8lHs5fHevXv59ddf8732JOaIkiTp0RSbtPfPfihJUvkr8vL4/jGzd+7cMUgwkiQVr8ikPXfunPLvt99+2yDBSJJUvCKT9v4xs3L8rCQZj2JbjwH5wC1JMiJFNkTp9XqSk5MRQqDT6ZR/56lUqZJBApQkKb8ik/by5cu0atVKSdSWLVsq78lbPpJUfopM2osXLxoyDkmSSqhEdVpJkoyHTFpJMjEyaSXJxMiklSQTI5NWkkyMTFpJMjEyaSXJxMiklSQTI5NWkkyMTFpJMjEyaSXJxMiklSQTI5NWkkxMuSTtli1b6NGjB4GBgfTt21eZPO7HH3+ka9eu+Pj4MHv2bGVY4L59+/D19cXf3z/fRHMTJkzgyJEj5bELklR+hIFFRUWJtm3bivj4eCGEEOHh4aJDhw4iPDxcBAYGivT0dKHVasWAAQPE9u3bhRBCBAUFifj4eBERESFGjhwphBDi9OnTYtSoUaXa9oULF57szhjZ9qQnx5jPFYOXtJaWlkyePJnq1asD4OHhQWJiIr/++iv+/v7Y2tpiZWVFcHAwYWFhyjIajYbU1FQsLCwQQjBt2jTGjBlj6PAlqdyV6EnwT5KzszPOzs5A7oRxU6ZMoVOnTiQkJOR7RpCTkxPx8fEAhISEMHr0aKysrJg8eTLr16+nVatW1KpVq1TbzszMNOiMG1qtVs7wYaKM+dgZPGnzaDQaxo4dy82bN1m8eDEffvhhvgnkhBCYmeVeCLRo0YLQ0FAAkpOTWb9+PStWrGDBggX8+eefuLq6EhISUuw2rayscHd3L5sdKkRkZKRBt/cwKSkpJCQkkJ2dXd6hmARzc/Mnvk47OzucnZ2V8/p+pfmBKJekjY2NZdiwYdSrV4+ff/4Za2tratasSUJCgvKZhIQEnJycCiw7Y8YMhg0bRmxsLEePHmX58uVMmDCBo0eP0rp1a0PuhslISUkhPj6e2rVrY2NjI2fXLIGMjAxsbGye2Pr0ej03btwgMTFRqRo+KoPXadPS0hg4cCC+vr788MMPyhP4vL29CQsLQ6PRkJWVRWhoKJ07d8637MWLF4mLi8Pb25usrCzU6tzfHDMzMzIyMgy9KyYjISGB2rVrY2trKxO2nJiZmVGjRg2Sk5Mfe10GL2lXrlxJbGwsu3fvZvfu3crry5Ytw9fXl969e5OdnY23tzdBQUH5lp06dSqff/45kPs0P0dHR3x8fKhfvz7t27c36H6Ykuzs7CdaakiPxsLCgpycnMdej0qIZ+fxAYauYxpLndZY4jAlT/ryOE9Rx6I0x0j2iJIkEyOTVpJMTLnd8pGkB2VnZ+Pl5UXDhg1ZvHhxucTwyy+/sGDBAqpUqYKZmRl2dnasWrUKgJEjR3Lx4kVsbW2B3KdujB8/3uAxyqR9BkWm/M6FlP1luo1GDl64O/ynVMvs3r2bhg0bcu7cOaKioqhXr16ZxBYbG8v69esZMmSIkoB5IiIiGDt2LJ07dy5Qp42IiGDjxo3UqFGjTOIqKZm0ktFYvXo1fn5+1KlTh+XLlzNp0iQAFi5cyIYNG7Czs6NFixbs3buXffv2kZWVxfTp0zlx4gQ6nY5GjRrxf//3f9jb2xdYd05ODuHh4axdu5aYmBh69uyJpaVlgc9FRESQlpbGjz/+SI0aNfjkk09wc3Pj+vXrpKen8+mnnxIXF4eHhwdjxowpnwfRlU33Z+NkzJ3Ay5KxxPEwV65cEY0bNxZ37twRp0+fFk2aNBF37twRv//+u+jSpYtITk4Wer1ejBs3Tnh5eQkhhJg9e7aYOnWq0Ov1QgghvvvuO/H5558XWPemTZtE586dRUhIiDh+/HiRMaSnp4vBgweL48ePC41GI7Zv3y7at28v0tLSxKlTp8Tw4cNFbGysyMnJEZMmTRLvvfdeqfezqGNRmmMkS1rJKKxevRovLy8qV65M5cqVcXZ2Zt26ddy6dYuuXbvi4OAAwIABA/jjjz8ACA8PJzU1VRmemZ2djaOjY4F1q1QqzMzMMDMze2jnEltbW5YsWQLk3vLx8/Nj/vz5nD17llatWjF37lzls++//z7t2rUjKyur0BK7LMmklcqdRqNhy5YtWFpa0qlTJyC359yKFSvo3r17vuci398nWK/XM378eDp06ABAeno6mZmZBdYfGBiIv78/+/fvZ8GCBcTFxREcHMxbb72Vb303btxg3759DBw4UHlNCIFareZ///sfycnJeHt7K6+rVKoy6aNcHHnLRyp3W7dupVKlShw8eJB9+/axb98+9uzZg0ajoXHjxuzatYvU1FQANmzYoCzXrl07Vq5cSVZWFnq9nk8//ZTvv/++0G2Ym5vTuXNnFi9ezIIFC0hOTi6Q4DY2NsyYMYMzZ84AcODAATIyMmjSpAnp6elMnjyZpKQkAJYsWUKXLl3KJWllSSuVu9WrVzNo0KB8CeDg4MDAgQNZtmwZr732Gn369MHa2poGDRoorbrDhw/nm2++oWfPnuh0Otzd3Rk7dmyx23NxcWH06NEFXq9SpQozZszgs88+IzMzEwcHB+bOnYulpSUdOnRg4MCB9OvXD71ej5ubG19++eWT+xJKQXZjfIq2Z+xxPIqzZ88SERHBG2+8AcDSpUs5ffo0M2bMKNPtGnM3RlnSSkbt+eefZ9GiRaxbtw6VSkXNmjXLrYQzFjJpJaNmb2/PrFmzyjsMoyIboiTJxMiklSQTI5NWkkyMTFpJMjEyaSXJxMjWY8loGMN42ofJG2tbtWpVgHIbayuTVjIaZTWeduPGjVStWpX27dsXOudwSeWNtQ0ICCj0PUONtZVJ+wxKifqdlL/KdhC8Q30vHOqVbhB8WY2nfe6551iyZAmTJ08mKCiIXr16Kcm1cOFCtm/fXiCWBQsWFDoIPi0tjYULF1K9evVyG2sr67SSUfjrr7+IiIiga9euBAUFsWXLFu7evcvBgwcJDQ1lw4YNhIaGkp6eriyzcOFCzM3NCQ0NJSwsjOrVqzN9+vQC627evDnz5s1j1apVWFhYMGjQIN577z2ysrJ499132bJlS4H/Hkw4jUbDCy+8wJAhQ9i6dSuvvvoqQ4YMIT09nTt37tCmTRsmTpzI5s2bsbW1LdNpaGRJ+wxyqPefUpeCZa0sx9PmuX9Mbd7ghJKWtPePtQXKdaytTFqp3JX1eNpTp07x008/ERkZSVBQED/99JNyefzuu+/y7rvvFljmwSdWGNNYW3l5LJW7sh5Pe+XKFXr27Mlvv/3GiBEjHqmxyJjG2sqSVip3ZT2etnfv3o8d4/1jbbOzs7G3ty+3sbZyPO1TtD1jj+NRyPG0BcmSVjJqcjxtQTJpJaMmx9MWJBuinhHPUC3IaD2pYyCT9hlgYWEhH7ptBLKzs5UHoT8OmbTPgOrVq3Pjxg00Go0sccuJXq8nPj6eihUrPva6ZJ32GZDXmyg2Npbs7OxyjsY0ZGdnY2Fh8UTXaWdnp4wQehwyaZ8RDg4OSvJKxTPm22Ty8liSTIzRJW14eDgBAQF06dKFUaNGkZaWxrVr1wgMDMTX1zdfN7bNmzeX+U12STI2RnV5fOfOHcaNG8fq1at57rnnmDZtGtOnT8fKyoohQ4bg6+uLn58fvXr1Ii0tjVWrVrF8+fLyDluSDMqoStpDhw7x4osv8txzzwHQr18/tm7diqWlJRqNBo1Go8w8MGfOHAYPHlwmXc0kyZgZVUl78+ZNnJyclL+dnJxIS0ujb9++TJgwgRUrVvDJJ58QFRXFlStXSvSwpftlZmYSGRn5pMN+KENvT3pyDHnsChtSWBSjSlq9Xl/oQ38rV67MsmXLlL/feecdxo0bR3h4OKtWrcLe3p7PPvus2Ok9PD09n3TIkmRwRnV5XLNmTRISEpS/825G581wB7Bz507q1atH/fr1mTJlCjNnzqRDhw75klqSnmZGlbTt2rXj9OnTREdHA7BmzRplNgDIHS61ZMkSRo4cCUBOTo4yhYhWqy2PkCXJ4Izq8tjR0ZEpU6YwatQosrOzqVOnDt98843y/oIFCxgwYIAy297gwYPp3r07Dg4OzJw5s7zCliSDeqYGwUvS08CoLo8lSSqeTFpJMjEyaYGYmBjc3Nx4/fXXC7w3duxY3NzcuHPnzhPZ1tixY/PNn/swLVu2JDAwUPkvLCzsicRg6oz1eAHExcXRvn37fNtPSkrio48+IigoiK5du7J58+bHismoGqLKk5WVFVevXuXGjRvUrl0byJ2P9+TJk+USz99//02lSpXYsmVLuWzf2Bnb8YLcvvCzZs3Kd9sSchO/Xr16fPfdd9y8eZOAgABatWqVryNRaciS9h5zc3O6devG1q1bldd27dqV75aTXq9n8uTJ9O7dGz8/P7p168aff/4J5B6YYcOG0b17d6ZNm0Z6ejrjxo2jS5cu+Pn58f333ysD0CMiIujbty+dO3fmvffeQ6PRFIgnIiICMzMz+vfvT0BAAHPmzEGn05Xxt2A6jO14xcfHs2fPngKlclJSEkeOHOH9998Hcnv5rVu37rEGw8ukvU/eM2TybN68mZ49eyp/nz59moSEBNauXcuOHTvo2bMnixYtUt7XarVs376dkJAQZs2aRWZmJjt27GDz5s2cPHmS48ePA7kHeOnSpfz222/Ex8eza9euArHodDratGnD4sWLWblyJYcOHeKXX34pw703PcZ0vGrUqMGcOXN4/vnn871+7do1qlWrxtKlS+nbty/BwcFcuHDhsfrMy8vj+3h4eGBubs65c+dwdHQkPT0dV1dX5f1mzZpRsWJF1qxZw/Xr1zl27Bh2dnbK+82bN1f+feTIEcaNG4e5uTnm5uasWLECgE2bNtG5c2floDVo0KDQ+tdrr72W7+9Bgwbxyy+/8NZbbz3JXTZpxnS8ipKdnU1MTAz29vasWbOGf/75hwEDBlC3bl08PDweab9lSfuAHj16EBYWxpYtWwgMDMz3Xnh4OEOHDgXA29ubfv365Xv//u6WarU6Xz/quLg47t69q7yXR6VSFTpv0+bNm7l48aLyd95zY6T8jOV4FaV69eoABAcHA1C3bl1eeukl5fEij0Im7QMCAwP59ddf2bFjB/7+/vneO3z4MF5eXvTv3x8PDw/27NlTZD2zdevWbNq0Cb1eT1ZWFqNGjeLEiRMljuPKlSvMmjULnU6HVqtl5cqV+Pn5Pda+PY2M5XgVxcXFhcaNGystxomJiURERDxyKQsyaQuoUaMG9erV47nnniswaqhv374cP36cgIAAevbsiYuLCzExMej1+gLref/997GwsCAwMJCgoCA6dOiAr69vieN4//33qVixIgEBAfTo0YNmzZo9kWfSPG2M5Xg9zJw5czh06BDdu3dn4MCBjBgxgiZNmjzy+mQ3RkkyMbKklSQTI5NWkkyMTFpJMjEyaSXJxMiklSQTI+/WS4qYmBh8fHyUXkV6vR47OzveeOONYu8Rz5kzh4YNG9K5c2dDhPpMk0kr5WNtbZ2vP++NGzd46623MDc3p0uXLkUud+zYMerXr2+IEJ95Mmmlh6pduzajRo1iyZIluLq6MmnSJNLT07l16xYNGzZkxowZbNiwgXPnzvHtt99ibm5Ohw4dmD59OidOnECn0xjeOKoAAAF/SURBVNGoUSP+7//+T5nbS3o8sk4rFathw4ZcvnyZdevWERQUxLp169i1axcxMTGEh4czYMAAPDw8+OSTT/Dx8WHhwoWYm5sTGhpKWFgY1atXZ/r06eW9G08NWdJKxVKpVFhbWxMSEsLhw4dZtGgR0dHRJCQkFDq2NDw8nNTUVI4cOQLkjnRxdHQ0dNhPLZm0UrHOnj2Lq6sro0ePRqfT0a1bNzp27EhcXFyhI170ej3jx4+nQ4cOAKSnp5fqsRfSw8nLY+mhrl69yrx58xg8eDCHDh1ixIgRSkvy6dOnlVEz5ubm5OTkALmTzq9cuZKsrCz0ej2ffvop33//fbntw9NGlrRSPlqtVhmXamZmhpWVFaNHj6Zjx47897//ZcSIEdja2mJvb8/LL7/MtWvXAOjUqRPff/892dnZDB8+nG+++YaePXui0+lwd3cv9cPSpKLJUT6SZGLk5bEkmRiZtJJkYmTSSpKJkUkrSSZGJq0kmRiZtJJkYmTSSpKJ+X8hmqfJKBcppwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 216x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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jRyCvS1z+upDXK8bExIQ2bdpw7tw5/vOf/wCUuIMD5HWM+PTTT6lSpQqvv/46ycnJjB07lsTERGJiYhg9ejRXrlxh6NCh2NjY8NVXX7Fw4cJC+8jvXFHSbebPn4+rqysvvfQSv/76KytXrgTyGuFv2bKFtm3bMmLECK5fv84nn3yif+8zMjLYv38/kNdVLicnp9B79rDt27fTvXv3x66TrzSfaYk9VbpXcsuWLRNOTk5i/fr1IjY2VoSHhwsnJyexZMkSIcT/rrJnz54VQohCv6iP2/7WrVvCyclJjBw5Un+8H3/8UX8FDgoKEk5OTuL48eNCCCFmzJghnJ2dxRdffCEiIyPF1atX9b/8jxo1apRwcnIS0dHRQggh0tLSxKuvvirat28vhPjf1WDlypVFbr9y5Urh5OQktm7dWuC83njjDSGEEFqtVri4uAgfH58Cxzt79qyIjY0V8+bNE05OTuL3338vNrbExEQhhBBRUVFi9+7d4u7du+Ljjz8WTk5O4sCBA0IIIXJycoSfn59wcXERmZmZ+qvl119/rd9fSbf55ptvhBBC/Pnnn8LJyUkEBgYKIYTQaDTi/PnzIi0tTURERIguXboIFxcXIUTeFdDFxUW89dZbQggh+vXrJ9zc3ER6eroQougr7EcffaSPzdAVtjSfaUm90M+w+c9xjxa2lLQg6HHbJyYmAv9rIwwwcODAYvc1depUsrKyWLduHUuXLsXMzIyhQ4cW2Qro5s2bqFQqnJ2dAahWrRr29vacPXuWrKysEsVelPwODiqVClNTU3JycoDSdXBISEjA2NhY35Lo4d48+e9X/p2LkZERjRo14urVqwWeqR/uVFDSbfJjr169OvC/zhGJiYl89tln/PnnnzRp0oSsrCx9A38rKys6derEkSNHOHXqFOfPn2fgwIGYmZkV+x4V1+Eh38OdB0rzmZbUC52w+YUxgYGBuLi4kJaWxv3790s85MjjtrexsQEo0DVu0aJF5ObmMnHiRH07YPH37dGVK1fw9PTks88+4+LFiyxatIiVK1fSuXPnQl3YbG1tuXr1KpcuXcLJyYn09HTi4uKwtrYuNIJGUR49dr783jNFnWdJOzjUrVuXv/76i+vXr1O/fn0iIiL07WXzf7wuXryIjY0NOp2OmJgYVCpVgQK8hzsblHSb/NgfbV89bdo0/vjjDyIiIqhVqxa9e/cmOTlZ//qAAQM4dOgQn376KVC4eeqjHo7NyMgI+F+HjNTU1AI/mKX5TEvqhU7YXr168e2337J79250Oh3Hjh0r8Oz2NNu7u7vToUMHfvvtNz744APUajWbNm2iY8eOqFQqfberdevWkZaWxtatWzl06BAHDhzA3t6eq1evolKpCjU2Bxg6dCi//fYb77zzDj169ODYsWPcv3+ff/3rXyWKO//Y27dvRwhh8KpRmg4O/fr147fffmPs2LF07tyZsLAw7t+/z9tvv82gQYMIDQ1l+vTp9OvXjz///JMrV64watSoYn9onmSbR+l0OubOnUtOTg4xMTEA+t5JXl5eWFpaEhMTwyuvvFKq8aHq16+PQqFg7969ODo6cvjwYVSq/6XU8uXLS/yZltQLXehkb2/P4sWLqVq1KqtWreLOnTt89NFHJe5MbGj7hQsX0qdPH44ePUp4eDjdunXTDxfSu3dvfQFJdHQ08+fPJyAggBMnTrB69WosLCxYtGhRgW5u+bp27cqiRYuoUaMG69atQ6PREBQUxLBhw0oUd5cuXWjSpAmnTp3i5MmTBtcvTQeHnj178sknn5Cdnc2aNWuoXbs2S5Yswc7OjqZNm7Jy5UpefvllNm7cSEJCApMmTeKDDz4o9thPss3DZsyYgaOjI/v37+f69ev6wQjy69BVKhV9+vQBDF9dH2Vtbc2HH36IkZERK1eupFu3bvp+sECpPtOSki2dJKkSeaGvsJJU2ciElaRKRCasJFUiMmElqRKRCfucaTQafcMESTJEJuxzVJbd3PJnKfj5558LLHdzc9MPNA55PXtee+01WrRogbu7O4MHDy5y8PQXSVxcHOPGjaN169a0bt2awMBAfeu3kszPVJZkwj5Hz7ubW1xcHGPGjOHatWsMHjyYgQMHEhsby7hx4woNJfqi0Gg0jBo1il9++QUfHx/69OlDZGQkb7zxBvfu3SvR/ExlSSZsKd28eZPx48fTsmVLOnTowPTp0/VDkOb/+n7xxReMHz8eV1dX+vTpo5+i4mEnTpzQN6L46KOPCvxKp6WlMWHCBFq0aMGAAQMKjKtbknl8Sio6OhqtVkvPnj356KOPmDZtGp9//jkdO3Ys9ofkcXPmZGZmMnfuXDw9PXFzc2PUqFHExcXpX9+4cSN+fn64uroSEBBQoKVU/nw9u3fvpnPnzrRu3ZrZs2fr2+YamgPI2dmZt99+m08++QQ3Nzf8/Pw4efIks2bNokWLFnh7e3P8+HGysrJo1aoVnp6e+qaZv//+O87Oznz66adcvXoVjUZDYGAgc+bMYcaMGbz77rvcvn2bkydPGpyfqazJhC0FjUbDG2+8wcGDB+nWrRvt2rUjLCyMMWPGFGj0/f3332NkZESHDh2Ijo4mKCio0L7KuptbSbRs2VLfWqp3797Mnz8fnU7HN998U+Q4uYbmzAkODmbt2rW4uLjQv39/jh8/ztixYxFC8MMPPxAUFIRKpWL48OFkZGTw3nvv6Sfoyn9/v/jiC3x8fFCpVGzYsIHDhw8DlGgOoF9//ZUrV67QpUsXYmNjGTFiBJcuXaJnz55cv36duXPnYmpqiq+vL4mJifpJuPJj8Pf3x8XFhd9++43x48cDkJ6ezqFDh1CpVDg4OBicn6nMPVVfnxfMzp07hZOTkwgODtYvmzlzpnBychJHjhwp1E1Np9MJd3d30bJlyyL3V5bd3BYvXiycnJxEeHh4geUPd/8SQojo6GgxduxY0bx5c32n9i5duojLly8X2ueuXbuEk5OT+Pe//y1iY2PF6dOnhZOTk5g5c6bIzc0VzZo1E76+vvr1d+/eLQ4dOiS0Wq3w9fUVTZs2FXfu3BFCCHHz5k3RqFEjMXjwYCGE0A8QEBUVJYQQYtWqVcLJyUmsWrVKZGdnixYtWogOHTqIrKwsIYQQv//+u3BychKTJ08WQuR1hWvVqpXQaDQiNzdXNG7cWDRp0kSkpqYKIYTw8PDQfw4RERH68xBCCB8fH9GpUyeh0+kKnO+tW7eEv7+/aNKkidi5c2eRn2F5e6Eb/5dWfmnuo/PfQN4UH/lzxNjb2wN5PUeqVavG/fv3S3WcZ9HNLX9k/0evvjk5OQVeq1OnDosWLUKn03H27Fm2bNlCWFgYixYtKjTBsqE5c7Kysgp0J3y4TXZ8fDw2NjbUqlULyJvkqmbNmoXmuHm0m1xubm6J5wCysrLSP0+amJhgbm6u349ardYPydOmTRusrKzYt28fvXr14tq1a4waNapQT585c+Zw5coVli9fTvv27akIZMKWQn5j9+joaH2D8Yfnv8mX3+0Kip5j5dHXRBl0c6tTpw5QsG/vrVu3yM7OpmbNmgDMmzePNWvWMG/ePPr27curr76Kvb09YWFh+v68D3vcnDk1a9bE1NS0wJw5a9asISEhgXfffZd69eqRkJDA3bt3qVWrFomJidy7d48WLVoUee4Pv281a9Ys0RxAj75vD38Ojx6jZ8+erFq1iuXLlwMUOdjazZs3adOmTYVJVpAJWyqdO3emXr16rFmzhtTUVHJzcwkLC6N58+a0adNGP/9qSZVlN7f27dtTtWpVli9fTmJiIpaWlvqhUDp37gzkdYULCQkhKCiI06dPU6NGDf06D0/nkc/QnDkBAQFs2rSJwMBAXnrpJTZu3EiDBg2YNm0aw4YNY+7cubz++ut4eXmxb98+dDod77zzjsH3SaVSPfM5gHr37s2qVavYsWMHL730kv6K/bC+ffvq+7pWFMUm7IgRI1Cr1bi7u+vnRHnRqdVq1q5dy8KFC/n555+pUqUKffv2Zdq0acVeFR+nS5cubNq0iVOnTmFra1uihM2fA+fMmTM4OjoSHBxcZDc3GxsbvvvuO7744gvCw8PJzs7G2tqacePG6T/PRo0asXLlSr755hv27NlDeno6tra2TJo0ibfffrvQPvPnzAkODmbNmjVYWFgUmDPno48+wsTEhD179vD777/TunVrPvnkExQKBa+//jpGRkasW7eOdevW8fLLL/P111/j5eVVovdq6tSpWFhYsGXLFjZu3IizszOLFi164jmAGjdujKOjI5cvXy52KNPvv/+ee/fuMWbMmCc6Rlkotnvd119/jVqtpmnTprz66qvlHZcklbnhw4cTFRXF7t27cXR0fN7hlEixV9jQ0FDUajWxsbEyYaV/lF27dvH7778TFRWFq6trpUlWeEw97IQJExg/fvxT3w4LIZg2bZp+yvrc3Fzmzp1Lt27d8PHxISQkRL9ubGwsw4YNo0ePHgwYMEA/0W92djZjxozBx8enwDAocXFxvPnmm08Vn/TiOXPmDFu3bqVp06YEBwc/73BKp7j6nsjIyMf+K4nLly+LESNGCFdXV/2Qm+vXrxdvvfWW0Gq14v79+8LPz08/uHL//v3Fjh07hBBCHD58WPTs2VPodDqxf/9+8fHHHwsh8uoiY2JihBBCBAYGFhjsWpL+6Yq9Jc5vgJ6ZmUl8fDyOjo6oVCouXbqEg4MD27dvN/hjsGHDBgYOHFigUGT//v0MGjQIlUqFhYUFPXv2ZMeOHVhbW3PlyhX9JMeenp4EBQVx4cIFTExMyMjIIDs7G41Gg7GxMYcOHaJu3bo0atToaX+zJKnSKDZhd+7cCcCkSZNYsGABLVu2BPIGr1q6dGmJdp5/+xoREaFflpCQQN26dfV/29jYEBMTQ0JCAlZWVgVKW62trUlMTKRz5878/PPPBAQE0K1bN2xtbZk2bRorVqwoxanCqVOnHlsv+qzl10dKlU95f3YKhaJQnXRRDNbDXr16VZ+skNfC5Nq1a08cmBCiQNIIIVAqleh0ukLJJITAyMgIpVLJ3Llz9cu/+eYbBgwYwL1795gxYwY5OTlMnDhR3+qoOFWrVn3iaoAncfHixXI9nvTslPdnl98AxxCDPyFVqlQhNDSU3NxccnJyCAkJeaqZw+vWrVtg+sOkpCRsbGyoV68eycnJBVr95L/2sPj4eI4dO8aAAQNYvHgxI0eOJCgoiDlz5jxxTJJUWRhM2M8++4x169bRrFkzXF1d2bZt21OVrHXt2pWtW7eSk5NDamoqu3fvxtvbGxsbGxo0aMBPP/0E5E34pFQqcXJyKrD9vHnzmDJlCkqlkuzsbIyMjFAoFGg0mieOSZIqC4O3xA4ODmzbtk3fgL1GjRpPdcAhQ4YQFxdHnz590Gq1DB48GA8PDwC++OILPv74Y7799ltMTEz48ssvCzxHHD16FLVarb/XHzlyJB999BFCCGbMmPFUcUlSpWCoGDkpKUmMGTNG+Pr6itu3b4tRo0aJW7dulXHhddm4cOHCP/p40rNTUb8rBm+Jg4KC8Pb2xtTUFHNzcxo1asSsWbPK47dEkqRHGEzYmzdvMmjQIJRKJcbGxkydOpWEhITyiE2SpEcYTFiFQlGgE/SDBw+eeEgSSZKejsFCJ19fX6ZMmUJaWho//PADmzdvLnK8H0mSyp7BhA0MDCQsLAydTsfRo0f1w2FKklT+SjTiREBAAAEBAWUdiyRJBhSbsEOGDCEkJAQ3N7ci29+eOnWqTAOTJKmwYhP2yy+/BGDVqlVYWlqWW0CSJBWv2ITNHyFv+vTpheZnkSTp+TBYrWNra8upU6dkVY4kVQAGC53++usvhg4dikqlwsTERN89Tj7DSlL5M5iwixYtks+wklRBGExY+QwrSRWHfIaVpEpEPsNKUiViMGE3bNhQHnFIklQCBhPW1taWn376iSNHjqDVaunQoYNspihJz4nBZ9jvvvuOZcuW4ezsTJMmTVi1ahVLliwpj9gkqdwJoSM95z5W9hak59xHiIpVdmPwChsWFkZISAjVqlUD8iYTHjRoEGPHji3z4CSpPAmh43b2dXYlfE5aTjLVVZb4151CHZP6KBQVY3zpEkWRn6yQN+WgSiWnlZX+eTL3iHnFAAAgAElEQVRyU9kZv5C0nGQA0nKS2ZXwORm5qc85sv8pUbXOmjVr0Gq1aLVaVq9eXeR8pJJUmWlyH/BHys9k5qYAUF1Zi9613kNtZEGuyHnO0f2PwUtlUFAQU6ZMYcGCBQC4urry+eefl3lgklQekrKucjZlL5fSIsgR2VgZ1af+lftYxt8FsxD8PANRKYyfd5h6xSbslStXeOWVV7C2tmbdunVkZmai0+lQq9XlGZ8kPXO5IofLD45zNmUvCZpLqBSmNKreERfT1mj2LCFXkwZATnoy935Zil2P2SUc6qHsFRvGoEGDqFmzJp6ennh5eeHh4UHVqlXLMzZJeqbScu5wPmU/51MPkpmbQg1jGzrWHo6Dxpasa2d5EPstuZr7BbbJSU9G5OY+p4gLKzZhIyMjOXfuHMeOHWPFihV88MEHtGrVCi8vLzw9PbG2ti7POCXpiQghuJF5gbMpe7iS/jsCwctV3GgqGqKOv036iZ0kaVJQKI2pYu1CVm4Ouuw0/fYqtSUKowpyeQUUQjw0+9RjZGdnc+DAAZYtW0ZMTEyJZ9uqSJ7HjGRy9rrnI1uXSXTaEc6m7OVu9g3MRDVaZLtgfUeBNv5PdNnpKFSmqG3dUDfwQG3nhkJlSva96yQc+pyc9GRUakvqdp6CSc2yr9Yp6XflsT8dubm5REVFcfDgQSIiIsjKyqJTp068//77zyxQSXqW7mbf5GzKHi6mHkGXk4ljmhUe9x0wSrqByIlCa6JGbdeKavYeVK3bHKXKpMD2JjXrY9fj/8jWZGBSxQyjKuYVpg4WHpOwU6ZMISIiAgcHBzp16sSiRYto2LBhecYmSSWiE7lcST/J2ZQ93Er9E5t7Stql1EB9Rwu6JIyqZKF+pSPVGrxKVZsmKJTFX6cUCiWqqjX4b2wCLi4Vr/qy2Mj37NlD27Zt6dOnDx07dnyqOWElqSxk5KTwZ+pBom/voXrSferfNaZZigKF0KFSK1E7+1CtgQdVLJ1RlONs6mWp2IQ9fvw4ERERHDp0iODgYF5++WW8vLzw8vLCwcGhPGOUJD0hBIma/3IhcQcZ109hfUdHmzRQAMbVa6Nu0ppqDTwwrf1KkcPzVnbFJqxarcbX1xdfX1+EEJw5c4bDhw8zadIksrOz2bNnT3nGKb3gcnTZXErYRdKVfVRPuod9et5yoxr1sHBtj7qBByY17P6RSfowg+XVqampREVFERkZSVRUFBqNhrZt25ZHbNILTgjB3eRTXL8cBvGXqZYhsAN0NS2p4dQZc/t2mJjbPO8wy1WxCRscHExkZCRXr17Fzc2Njh07smDBAhwdHcszPukFI4QOTfIl4v/aTdaNPzDJzEYNZNY0R+XUDttX/DGuVud5h/ncFJuwGo2G8ePH07ZtW8zMzMozJukFI3S5ZN66SMq1CNLijqPUZKJTQFoNFSaOLXFoOBjzavbPO8wKodiEDQoKKrOD7tu3j6+++gqlUomFhQVz5szB1taWefPmceTIEXJzcxk1ahRDhgwB4IcffmDlypWYm5vz5ZdfUr9+fQDGjBnD9OnTZSFYJSRytWQknOdB3AkexEUisjPIVUJyDch6pS71X+6Ne62OGCkqTiujiqDc3w2NRsPUqVPZvn079vb2rF69mjlz5uDp6UlsbCy7du0iPT2dwYMH06RJE5o3b87y5csJDw9n//79bNy4kWnTphEeHo6jo6NM1kpEp9WQEf8HD66dIP3mKYRWQ66RksSaOpLrqKhl155mtXtgaSqvpsUp94TNzc1FCEFaWl57zfT0dExNTdm/fz+DBg1CpVJhYWFBz5492bFjB82bN8fY2JjMzEzS0tL0///+++9ZtWpVeYcvlVJudjoZN07xIC6SjJt/IHKz0RmbcKuW4EYt0NaxpFlNP9pU98TUSPYEM8Rgwq5bt46+ffsWGHXiaajVaoKCgnjttdeoUaMGOp2OkJAQ3nnnHerWratfz8bGhpiYGAAmT57MiBEjsLKyYv78+SxdupRhw4Y9s5ikZytXk8qDuCjS4yLJSDwPulyoUp179WpwyTyZu+bZ2Ktb0s7CjwZmzSpU07+KzmDCxsTE4Ofnh5eXF6+99hrNmjV7qgPGxMTwzTff8NNPP9GgQQPWrl3LhAkT0Ol0BerQhBAo/26d4ufnh5+fHwBxcXGcOXOGiRMnMnfuXGJjY2nXrh0jR440eOysrKxy7bSg0WgqZSeJJ5KdivLeRRT3LqJIi0OBQGdqQap1A67WvkdC9fsYk4Otri0uOe5UTalJRgpEE/O8Iy9SRf3sDCbsnDlzePDgATt37iQoKAghBEOGDKFXr16YmpqW+oC//fYbLVu2pEGDBgAMGzaM4OBgWrduTVJSkn69pKQkbGwK17EFBwczbdo0jh49Snp6OsuXL2fUqFF06dIFe/vHP/uYmprK3jrPUHZqIulxkTyIiyTr9mUATCzsUDbx5lqNNM6KM2i5ipXpK3hbvIZTtXaolCYG9loxPI+eXSVR4kHYunXrhr+/P/fv32fjxo1069aNgwcPljqwxo0bExUVxe3btwHYv38/dnZ2dO3ala1bt5KTk0Nqaiq7d+/G29u7wLaHDh3C2tqaxo0bk52djUqlQqFQoFAo0Gg0pY5FKh0hBFn3rnP3jy3E7fyQuLBJ3Dm1EYSOmi0Ggc+b/O5uQajFPk6L33Go/iqD7P6PwXZzaWzuVWmStSIzeIU9duwYmzZt4tixY/j5+fHNN9/QqFEj4uLiGDp0KF26dCnVAdu2bcvo0aMZMWIExsbGWFhYsGTJEl5++WXi4uLo06cPWq2WwYMH4+Hhod8uOzubJUuWsGLFCgA6dOjAhg0b8PHxoW3btjg7O5fy1KWSEEKQdecKD+IiSb92Am1aIqCgiqUTddxHoKzXiBjdWc6l7udB+h2qq+rQttZrNDHvjJnK4nmH/49jsAN7t27dGDp0KH379qV69eoFXvvqq6947733yjTAZ0l2YC8ZodOhSY75O0kjycm4AwolVW2aUK2BB2Z2rbitvM3ZlL3898FxdORQv2ozmlv48rK6JUqF0fM+hadWUb8rBq+wTZs25fXXXy/ytcqUrNLjCV0OmYl//l26G0Xu38OmVK3XnFotBqKu744wNiHmQQRn7y4kOesqJsqqNLPwppmFD7VMbJ/3KbwQDCbspUuX9DPWSf8supxsMuLPkh4XSfqNk0UOm6I0rkqK9hbHUsK4kHoYje4BtUzs6Gw5GufqHTFRVnnep/FCMZiwlpaW9OzZE1dX1wJDnM6aNatMA5PKhk6bSfqN03lJevM0IicLZRHDpgih41rGH5xN3ktsxhkUKHBQv0rzGn7YVnGRP+DPicGEdXNzw83NrTxikcpIriaN9BsneRAXRWb8WYROi1EVC6oXMWyKJvcBF+7t41zqXlK0tzAzssCjZj+aWnSlmqrWcz4TyWDCjh8/Ho1Gw7Vr12jYsCFZWVlyfOJKICfz/t91pFFkJv4JQodKXQdzZ+8ih01JzorlbMpeYtJ+I0dkU6+KM21rDcahmodsgF+BGPwk/vjjD8aNG4dKpeKHH36gT58+fPvtt7Rs2bI84pNKQfsgifS4KB5ci0STfAkQGFe3oUaTXkUOm5I3Av4Jzqbs0Y+A71y9A80t/GQD/ArKYMLOnz+f1atXM2XKFGxsbFiwYAFz585l69at5RGfZEB2yk199UvW3asAmNS0p5brgGKHTckfAf/P1INk5KZgYWxDxzojcKnuSRUj2T67IjOYsBqNpsAoE56envznP/8p06Ck4gkhyL53La+LWlwU2Sk3ADCt40jtlsNQN3i1yGFTihoB/yUzN5pb+GJv1lw2wK8kDCasSqUiJSVF/yt95cqVMg9KKkgIHZrbl0m/doIHcVHkPEgChYKqVi7UcXqTag1eRaWuXeS2j46AX0VZDbcaPWlm4YOFsVU5n4n0tAwm7Lvvvsvw4cO5ffs2kydPJiIigtmzZ5dHbC+0/GFT8guOcjPvgdIIs7rNqNksgGr13TGqUvxY0Xkj4O/lYuqvaEVmXgN8q8BK1QBfKsxgwnbu3JlXXnmFiIgIdDod48aNk6M8lJGHh01Jv34SXVYaCiMTzGxdqdagNWZ2bhiZFN/JWydyuZp+krMpe7meeR4lKpyqt6W5hS/Wpo6y7vQfoNiEHTduHMOHD6dt27bY29sb7LomPZmCw6acRmgzURpXxcyuZV6S1muO0vjxrYnyR8A/l7qfBzl3qKaqLRvg/0MVm7CtWrXS3/rmN/6XIzw8G0UNm6I0rU51+zaoG3hgVrcpCqPHz/othCAx6zJn7+8p0ADfs86b/5gG+FJhBnvrREZG8uOPPxIREYGfnx/Dhg2rtJNilVcPDCF05GpSC8yApst6UGjYFKOqNanW4FXU9q2patUIhdJwkuXosvMa4KfsJTnrKsaKqjQ295QN8J+xSttbx8PDAw8PD+7fv8/27duZNm0a1apVY+3atc8k0H8aIXQF5hhVmlTDuJoVWfeughCoqllRo1F3qtm3xrSOQ4mrU1K0tziXsq9AA3wvy1E0qt4RE6VsefaiKHGbMxMTE8zMzFCr1dy7d68sY6rUcjWp+mQF0GU/IOteJhaNumPu0AmTmvYlLvzRN8BPeaQBvoUvtlUby0KkF5DBhD158iRbtmzhwIEDtGvXjgkTJhQYCUIqSORq9cn60EJquPQo8RQTmtwHXEj9hXOp+0jRJv7dAL8vTSy6Ul1VdH2r9GIoNmFXrFjBli1b0Gg0DBw4kF27dmFlJSvaDVEYGaNSWxZIWpXaEoWR4ZuZRxvg163iTNtag2QDfEmv2G/BkSNHmDx5Mt7e3hgZyRLHkjKqYk7dzlP0t8UqtSV1O08ptpFD4Qb4Jn83wPfF0vSl8g1eqvCKTdi+ffuiUCiIj4/Xz2UjGaZQKDGpWR+7Hv9XoJT40cKlBzl3OZ+yn/OpB/5ugG8tG+BLBhWbsIsXL0atVtO6dWs5ukQpKRRKVFVr8N/YBFxc6umXCyG4mXmBP2QDfOkJFZuw/fr1w8zMrFKO+ve8CaEjIzcVK3sL0nPuo1IY6+tOCzbA98bC2Pp5hytVIsUm7IkTJ1Cr1Qgh5IzrpSCEjtvZ19mV8DlpOckYK6ogEOSILCxNX5YN8KWnUmzCNmvWDG9vbzmyRCll5KbqkxVAKzSoFKb0svmQl9Rusu5UeirFPjR5eHgQGhpK7969mTVrFocPHyY7O7s8Y6uUcoVWn6z5ckQWtU0byGSVnlqxV1gvLy+8vLwQQnD69GkOHDjAV199hZ2dHV26dCEgIKA846w0jBTGVFdZFkja6ipLWY8qPRMGv0UKhYKWLVvqb43/+usvDhw4UOaBVVZmRub4152ivy2urrLEv+4UzIyK72wuSSVVbMKOGDECtVqNu7s7b731ln65g4OD7MD+GAqFkjom9Rlk939osjOoYmKGmVHhelhJehLFJmzr1q1Rq9U0bdq0POP5R1AolKhVNYj7b8F6WEl6WsUmbGhoKGq1mtjYWF599dXyjEmSpGIUm7ATJkzAzMyMxo0bl2c8kiQ9RrEJa2dnB0BiYiKJiYmFXpdXXUkqf8UmbP54TpmZmcTHx+Po6IhKpeLSpUs4ODiwffv2cgtSkqQ8xSbszp07AZg0aRILFizQV+v8+eefLF26tHyikySpAIN1DVevXi3QPLFJkyZcu3atTIOSJKloBhO2SpUqhIaGkpubS05ODiEhIZibP10jgJiYGEaMGEFAQAD9+vXj/PnzACxbtoxu3brh4+PD4sWLyR/Q8eDBg/j6+uLv78+5c+f0+5k5cyZHjx59qlgkqVIRBly+fFkEBAQIFxcX0bhxYzFw4EARFxdnaLNiZWRkiPbt24vDhw8LIYTYt2+f8PPzE4cPHxZ9+vQR6enpQqPRiGHDhondu3cLIYQICAgQt27dEqdPnxYTJkwQQgjxxx9/iPfee69Ux75w4cITx/0kyvt40rNTUb8rBpsmOjg4sG3bNu7fvw9AjRo1nuoHIiIigvr16+Pp6QlA165dsbOzY/369fj7+2NmZgbk9cfdsWMHPXr0wMTEhIyMDNLS0jA2NkYIwcKFC5k/f/5TxSJJlY3BhE1OTmbmzJlcu3aNjRs3Mnr0aIKDg594QLarV69iaWnJjBkziI6OxtzcnKlTp5KQkFCg362NjQ23bt0CYOrUqUyePBlTU1PmzJnD5s2badOmDfXqla4VUVZWFhcvXnyiuJ+ERqMp1+NJz05F/ewMJmxQUBDe3t6sX78ec3NzGjVqxKxZs1i+fPkTHTAnJ4dffvmFtWvX4urqyv79+3n77bd55ZWCs4MLIVAq8x6x3d3dCQ0NBSAlJYXNmzezfv16li5dysmTJ3FycmLq1KkGj21qalohR3OXKp7nMfJ/SRgsdLp58yaDBg1CqVRibGysvxo+KSsrKxwcHHB1dQXA29ub3NxclEolSUlJ+vWSkpKwsSk8MfGiRYsIDAwkPj6eY8eOsWLFCu7fv8+xY8eeOCZJqiwMJqxCoUCn0+n/fvDgQYG/S6tTp07cuHFDXzIcFRWFQqHgjTfeYMeOHWRkZJCdnU1oaCje3t4Fto2OjiYhIYGuXbuSnZ2NSpV3g6BUKsnMzHzimCSpsjB4S+zr68uUKVNIS0vjhx9+YPPmzXTv3v2JD2hpack333xDUFAQmZmZmJiYsHjxYtzd3bl06RIDBw5Eq9XStWvXQp3k582bxyeffAKAs7MztWvXxsfHB0dHRzp27PjEMUlSZWFw9jqAsLAwDh8+jE6no0OHDgwcOLBSDndSUWckkyqeivpdKdG4JQEBAXJIGEmqAIpN2CFDhhASEoKbW9Ej/Z06dapMA5MkqbBiE/bLL78EYNWqVVhaWpZbQJIkFa/YhM1vGDF9+nR+/vnncgtIkqTiGazWsbW15dSpU09VlSNJ0rNhsNDpr7/+YujQoahUKkxMTBBCoFAo5DOsJD0HBhN20aJF8hlWkioIgwkrn2ElqeKQz7CSVInIZ1hJqkQMJuyGDRvKIw5JkkrAYMLa2try008/ceTIEbRaLR06dJDNFCXpOTH4DPvdd9+xbNkynJ2dadKkCatWrWLJkiXlEZskSY8weIUNCwsjJCSEatWqATBgwAAGDRrE2LFjyzw4SZIKKtEciPnJClC9enV9x3FJkspXiap11qxZg1arRavVsnr16lIPfiZJ0rNhMGGDgoLYv38/LVq0oEWLFuzdu1c/6oMkSeWr2HvbK1eu8Morr2Btbc26devIzMxEp9OhVqvLMz5Jkh5SbMIOGjSImjVr4unpiZeXFx4eHlStWrU8Y5Mk6RHF3hJHRkby+eefU6dOHVasWEHHjh0ZO3YsP/74o36Ab0mSylexCatUKnF1dSUwMJA1a9Zw5MgRevXqxcaNG/Hy8irHECVJyvfY+pnc3FyioqI4ePAgERERZGVl0alTJ95///3yik+SpIcUm7BTpkwhIiICBwcHOnXqxKJFi2jYsGF5xiZJ0iOKTdg9e/bQtm1b+vTpQ8eOHZ96TlhJkp5esQl7/PhxIiIiOHToEMHBwbz88st4eXnh5eWFg4NDecYoSdLfik1YtVqNr68vvr6+CCE4c+YMhw8fZtKkSWRnZ7Nnz57yjFOSJErQ+D81NZWoqCgiIyOJiopCo9EUmMdVkqTyU2zCBgcHc+LECWJjY3Fzc6Njx44sWLAAR0fH8oxPkqSHFJuwGo2G9957jzZt2mBmZlaeMUmSVIxiG05YWlpy7do1Lly4UJ7xSJL0GMVeYU+cOIFarSYnJwd3d/fyjEmSpGIUm7B2dnaYmZlRp06d8oxHkqTHMNgf1sTEpDzikCSpBB5bSixJUsVSojGdysr+/ftxc3PT/71s2TK6deuGj48PixcvRggBwMGDB/H19cXf359z587p1585cyZHjx4t97gl6Xl5bgkbGxvL/Pnz9X//8ssvhIeHExoayq5duzhx4gTh4eEALF68mPXr1zNnzhxWrFgBwNmzZ3nw4AHt2rV7LvFL0vPwXBI2MzOTqVOnMn36dP2yffv24e/vj5mZGaampvTr148dO3YAec/RGRkZpKWlYWxsjBCChQsXMm3atOcRviQ9NwabJo4YMQKFQqH/W6FQULVqVRo2bMg777xTYAjUkvrXv/7F4MGDcXZ21i9LSEgo0OTRxsZGP7LF1KlTmTx5MqampsyZM4fNmzfTpk0bOXqj9MIxmLCOjo7ExcXx2muvoVQq2bZtGyYmJmg0Gj799FM+//zzUh1ww4YNqFQqBgwYwI0bN/TL8yfZevhvpTLvBsDd3Z3Q0FAAUlJS2Lx5M+vXr2fp0qWcPHkSJycnpk6davDYWVlZXLx4sVTxPg2NRlOux5OenYr62RlM2LNnz7Jp0yb94OGenp4MHTqUL774An9//1IfcNu2bWg0Gvr06YNWq9X/v3HjxiQlJenXS0pKwsbGptD2ixYtIjAwkPj4eI4dO8aaNWuYOXMmx44dM9gpwdTUFBcXl1LH/KQuXrxYrseTnp3y/uxK+uNgMGHT0tL0pbUAOp2OjIwMAP0VsDS2bNmi//+NGzfo1asX27dv5+DBg3z99dcMGjQIlUpFaGgo/fr1K7BtdHQ0CQkJdO3alZiYGP2PiFKpJDMzs9SxSFJlYzBhO3fuzKhRowgICEAIwY4dO/Dy8mLHjh3PtBVUly5duHTpEgMHDkSr1dK1a9dCs+TNmzdPP4i5s7MztWvXxsfHB0dHRzp27PjMYpGkikohHr58FkGn0/Hjjz/y66+/olKp8PT0pF+/fhw9ehRHR0esra3LK9an9jxuc+QtceVUUb8rBq+wSqWSfv360b17d/2tcUpKCu3bt3/6KCVJKhWDCRsSEkJwcDBarRb4X2luRSxBk6R/OoMJ+9133xESEkKTJk3KIx5Jkh7DYDFvnTp1ZLJKUgVhMGE7dOjAxo0buXXrFvfv39f/kySp/Bm8JV6+fDnZ2dnMnj1bv0w+w0rS81Gilk6SJFUMxSbs9u3b6dOnD6tWrSry9ZEjR5ZZUJIkFa3YhL127RoAly5dKrdgJEl6vGIT9r333gOga9eueHt7F3gtLCysbKOSJKlIxSbswYMHycnJYcGCBQgh9K2ccnJyWLx4caF2vpIklb1iE/bixYscP36cO3fusHbt2v9toFLx5ptvlkdskiQ9otiEHTduHOPGjWPDhg0MGzasPGOSJKkYBqt1Bg4cyL59+0hPTwcgNzeXuLg43n///TIPTpKkggwm7Pvvv8/169dJTk6mcePG/PHHH3h4eJRHbJIkPcJg08SLFy8SGhpK165dmTFjBiEhIaSkpJRHbJIkPcJgwlpZWaFSqXjppZe4dOkSDRs2JC0trTxikyTpEQYT1szMjJ07d9KoUSPCw8OJiYnRj+kkSVL5Mpiw//rXv4iOjqZ9+/YolUpGjBjB6NGjyyM2SZIeYbDQ6aWXXsLLywuFQsGnn35KVFQUPj4+5RGbJEmPMHiF/c9//sNXX30F5A2uvGLFCpYsWVLmgUmSVJjBhD1w4ADff/89kDd9xvr16/npp5/KPDBJkgozmLBarRZjY2P938bGxgWm1JAkqfwYfIZt2bIlH3zwAQMGDEChUBAWFoarq2t5xCZJ0iMMXmE//vhj6tSpQ3BwMAsWLKB27drMnDmzPGKTJOkRBq+wZmZmfPTRR+URiyRJBhSbsBMnTuTLL7+kV69eRb6+c+fOMgtKkqSiFZuwY8aMAfJuiSVJqhiKTdhatWoRHx+PnZ1decYjSdJjFJuwPXv2RKFQIIRAo9GgVqsxMjIiNTWV2rVr89tvv5VnnJIk8ZiEPX36NJDXlrh169b07NkTyGtIsX///vKJTpKkAgxW65w/f16frJA3imJ0dHSZBiVJUtEMJqxOp+PEiRP6v3/99VfZ0kmSnhOD9bCzZs1i0qRJGBsbo9PpAPj666/LPDBJkgozmLDu7u4cOnRIPwOAs7MzKpXBzSRJKgMGM+/27dv88MMPhaaYnDVr1hMfdPv27Xz33XcoFAqqVq3KzJkzadasGcuWLWPbtm3k5ubSu3dvxo8fj0Kh4ODBg8ybNw8TExOCg4Np1qwZADNnzqRnz560a9fuiWORpMrEYMJOnTqVKlWq0Lhx42fy7HrlyhUWLlxIaGgoVlZW/PLLL0yYMIGgoCDCw8MJDQ3FyMiI0aNH4+DgQI8ePVi8eDHr168nPj6eFStW8NVXX3H27FkePHggk1V6oRhM2MTERMLDw5/ZAU1MTJgzZw5WVlYANG3alNu3b/Pzzz/j7++PmZkZAP369WPHjh306NEDExMTMjIySEtLw9jYGCEECxcuZP78+c8sLkmqDAwmbL169cjIyNAn0tOys7PTt54SQhAcHEyXLl1ISkqiQ4cO+vVsbGy4desWkHeVnzx5MqampsyZM4fNmzfTpk0b6tWrV6pjZ2VlletE1BqNRk58XUlV1M/OYMJaWVkREBCAh4cHVapU0S9/mmdYgIyMDKZPn05iYiIrV65k0qRJBW65hRAolXm1Tu7u7oSGhgKQkpLC5s2bWb9+PUuXLuXkyZM4OTkxdepUg8c0NTXFxcXlqeIujYsXL5br8R4nNTWVpKQktFrt8w6lUjAyMnrm+1Sr1djZ2em/1w8r6Y+DwYS1tbXF1ta29NE9Rnx8PIGBgTg4OLB27VqqVKlC3bp1SUpK0q+TlJSEjY1NoW0XLVpEYGAg8fHxHDt2jDVr1jBz5kyOHTtG27Ztn2mc/xSpqancunULW1tbqlatKuvRSyAzM5OqVas+s/3pdDpu3rzJ7du39Y+DT8Jgwo4fP/6Jd16UBw8eMGLECPr27Vtg3127duXrr79m0KBBqFQqQkND6devX4Fto6OjSUhIoGvXrsTExOirl5RKJZmZmc80zn+SpKQkbG1tn9ljjVR6SqUSa2trrl27VjYJGxgY+NgNly5d+kb2NaYAABG2SURBVEQH3LBhA/Hx8ezbt499+/bpl69evRpfX18GDhyIVqula9euheagnTdvHp988gmQVx9cu3ZtfHx8cHR0pGPHjk8Uz4tAq9U+06uF9GSMjY3Jycl5qn0oRP5MzY/Ytm3bYzfs27fvUx34eSjvZ8qK8gxbUeKoTJ71LXG+4j6Lkn5GxV5hK2NCStI/nWxjKFUYWq2Wzp0706hRI1auXPlcYli3bh1Lly6lVq1aKJVK1Go1GzduBGDChAlER0frywJat27NjBkzyjU+mbBShbFv3z4aNWrE+fPn+euvv3BwcCiT48THx7N582bGjBlTqCDu9OnTTJ8+HW9v70K3xKdPn2br1q1YW1uXSVwlIRP2BXQx9VcupB4q02M0Nu+Mi3mnUm0TEhJCjx49aNCgAWvWrGH27NkALF++nC1btqBWq3F3d+fAgQMcPHiQ7OxsPv/8c6KiosjNzaVx48bMmjWLatWqFdp3Tk4Ohw8fZtOmTdy4cYO+fftiYmJSaL3Tp0/z4MEDli1bhrW1NR9++CHOzs5cv36d9PR0Pv74YxISEmjatCnTpk2jRo0aT/YGPSGD/WEBIiMj2bdvH3v37tX/k6Rn6fLly5w+fZpu3boREBDA9u3buXfvHkeOHCE0NJQtW7YQGhpKenq6fpvly5djZGREaGgoO3bswMrKis8//7zQvsPCwujevTt79+7l7bffJjw8nLfffrtQr7OMjAxeeeUVxowZw+bNm+nfvz9jxowhPT2du3fv0q5dO4KCgggLC8PMzKzcb4ehhP1hf/31V+zt7fXLFAoFvr6+ZRqYVHZczDuV+upX1kJCQujcuTM1a9akZs2a2NnZ8eOPP5KcnEy3bt0wNzcHYNiwYRw/fhyAw4cPk5aWxtGjR+H/27v3oKjqNg7g32XxkmwLigJOGTggYJJ5yRELX7yg3FxZSAxEDK00hShNDUisMUcHUQYZNAYELCSV0UBRVCSiV8TUkrgMNfAWRCCiWZDscln3nPcPXs7LuiyLwN70+cwws3sOe86zHJ75ncvv+f3QfQ1sbm6utG0ejwcjIyMYGRn122lkzJgxSE1NBdB9l9jLywuff/45Kioq4OzsjEOHDnG/GxYWBhcXF3R1dfXZUmuK2oS9du0a8vLy+jzNIGQ4SKVSnDlzBiNHjsSiRYsAdHewOXbsGLy9vdH7yWPvLoMMwyAqKgqurq4AAIlEgs7OTqXt+/j4YNmyZfj222+RlJSEpqYm+Pn5ISQkRGF7jY2NKCwsRHBwMLeMZVkYGxvjhx9+QGtrKxYvXswt5/F4GunC2B+1p8QTJ06kZCUalZubCzMzM1y5cgWFhYUoLCxEQUEBpFIppk2bhvz8fDx48AAAcOrUKe5zLi4uyMzMRFdXFxiGQXR0NOLi4vrcB5/Ph5ubG44cOYKkpCS0trYqJfczzzyD+Ph4lJeXAwC+++47tLe3Y/r06ZBIJNi9ezdXF56amgp3d3etJ+yAJsPavHkzFi5cqND5n06JyXA5fvw41q5dq/DPLxQKERwcjKNHj2LlypV44403MHr0aEyZMoW7e7tp0ybExMTA19cXcrkcU6dORUREhNr9TZo0CVu2bFFaPm7cOMTHx2Pnzp3o7OyEUCjEoUOHMHLkSLi6uiI4OBiBgYFgGAYODg747LPPhu+PMEAqezr16H16wH2Ix8OXX36psaA0hXo6GZ6KigqUlpZizZo1AID09HSUlZUhPj5eo/s1uJ5OPTIyMgB03xZnWVZhrlhCNG3y5MlISUlBVlYWeDweJk6cqJOWTV+oTdj79+/jo48+wvfffw+5XI45c+YgNjZWpw+PydNDIBAgISFB12HoDbU3nXbt2oUZM2agpKQEJSUleOWVV/Dpp59qITRCyKPUJmxdXR3CwsIgFAoxduxYhIeHo76+XhuxEUIeoTZhHz58qHD7u729nUYsIERH1F7Denl5ISQkBH5+fuDxeDh9+jTc3d21ERsh5BFqEzY0NBRWVla4cuUKGIaBn58fVqxYoY3YCCGPUJmwbW1tEAgEaGlpweLFi7kuWUD3yIXarlIgTz59qIftT0+t7Pjx4wFAJ7WyKhM2ODgY2dnZcHZ2Vhp+lMfj6eWYrcSwaaoe9vTp0xg/fjzmz5/f5xCjA9VTKysSifpcp41aWZUJ2zOmU1VVldKXfHSeHUKGg6bqYW1sbJCamordu3dDLBZjxYoVXGIlJyfj/PnzSrEkJSX1WcDe1taG5ORkWFhY6KRWVu017Ouvv640INvq1atx7ty5YQ+GaMc/v/4b//xHswXsQruFENoOvISvpx42ISEB06ZNQ3BwMDZv3ozKykquHvbZZ5/Fxx9/zH2mdz0sj8dDXFwc9u/fr9RPYPbs2Zg9ezbu3buH7OxsrF27FtbW1jh48CDWr1+P9evXK8Xz6LC5vWtl58yZg7y8PLzzzju4cOECVyu7Y8cOWFhYYM+ePYiKisLhw4cf7482ACoT9s0330RFRQU6Ojowa9YsbjnDMNzscYQMF03Ww/boXRPbU2gw0Ba2d60sAJ3VyqpM2EOHDqGlpQVRUVHYu3fv/z9gbIwJEyYMaxBEu4S2/3qs1k/TNF0P+9NPPyEtLQ0///wzxGIx0tLSuFPigbaw+lIrq/IKXCAQ4Pnnn8fhw4dx7tw5brqOI0eOoKOjY9gDIU8vTdfD1tTUwNfXF5cuXUJoaOigbgzpS62s2mvYyMhIbrY5oVAIHo+H6OhoHDhwYNiDIU8nTdfD+vv7DznG3rWyMpkMAoFAN7WyrBrLli1TWiYSidR9TC9VVVU90ftTRV/iGIzy8nL2iy++4N6npaWx77//vsb3K5VKNbJdVcdioMdIbQv78OFDrhMF0H2dwPZf807IsKF6WEVqE1YsFsPf3x8eHh7g8Xi4fPmy0qxyhGgK1cMqUpuwGzZsgJ2dHa5duwZjY2Ns3bqVuytHCNGuAY3837svMcuyqKurg42NjSbjIsOM/d+jBqI7w3EpqTZhjx8/jtjYWIXnUuPGjcPVq1eHvHOiHSNGjEB7eztN6KxjMplMabaBx6W2J3RKSgrS09Ph6uqK7OxshIeHw83NbUg7JdplYWGBxsZGSKVSumGoIwzDoLm5GaampkPajtp0NzMzw8svv4ypU6fi/v372LhxI7y8vIa0U6JdPd36bt++DZlMpuNoDINMJhv2EUJNTEy40rzBUpuwxsbGaG1thbW1NcrLy/Haa69BLpcPaadE+4RCIZe4RD19HctZ7SnxypUrsWHDBixYsAAnT56En5+fxubtBLo7dItEIri7uyM8PBxtbW2or6+Hj48Pli5dqtA1LScnR+MDShOiV9T1rKisrGQlEgnLsix7584d9vLly2x7e/vAunU8pvv377POzs5sbW0ty7Isu2/fPvaTTz5h9+zZw+bm5rKdnZ3s4sWLWZZl2QcPHrD+/v6P1SPlae3pRB6fvv6vqG1ht27dyt1dtLS0hJubm8IcO8OpuLgYL730EvfIKDAwELm5uRg5ciSkUimkUilXTJ+YmIh169ZpZDoFQvSV2oR1cHBAbm4ubt++jZaWFu5HE+7cuQMrKyvuvZWVFdra2hAQEIC8vDysWbMG27dvx6+//oqamhp4eHhoJA5C9JXam07ffPMNLl68qLBMU2M6MQzT58P9sWPH4ujRo9z7t99+G5GRkSgqKsJXX30FgUCAnTt3qh2So7OzU+tjUdHYV4ZLm8eurzrevqhN2IqKiiEHM1ATJ05EWVkZ977nuVXvB/4XLlyAra0t7OzsEBoaipycHOTn5+Po0aP44IMP+t3+jBkzNBY7Idqg8pQ4Ojqae/3XX39pJRgXFxeUlZWhrq4OAHDixAmF4VXb29uRmpqK9957D0B3JVHPsB9UVE+eBipb2MrKSu71W2+9pTQQmyaYm5tj7969CA8Ph0wmwwsvvICYmBhufVJSEoKCgrhSv3Xr1sHb2xtCoRAHDx7UeHyE6JrKCZ3FYjFycnKUXhNCdGdAoypTlQch+kHlKTHDMGhtbQXLspDL5dzrHjRVByHap7KFra6uhrOzM5ydnVFdXY25c+dy7+fNm6fNGDWuoaEBDg4OWL16tdK6iIgIODg4DNuNt4iICIXxbfszd+5c+Pj4cD9nz54dlhgMnb4eLwBoamrC/PnzFfbf0tKCDz/8EGKxGB4eHkO6vFTZwv7yyy+D3qghGjVqFGpra9HY2MgN6SqVSnHr1i2dxPPbb7/BzMwMZ86c0cn+9Z2+HS+gu297QkIC7t69q7A8IiICtra2OHDgAO7cuQORSARnZ2eFTkIDNfiZgZ4wfD4fnp6eyM3N5Zbl5+crPFZiGAa7d++Gv78/vLy84OnpiR9//BFA90F599134e3tjdjYWEgkEkRGRsLd3R1eXl6Ii4vjLilKS0sREBAANzc3bNy4EVKpVCme0tJSGBkZYdWqVRCJREhMTKQqqV707Xg1NzejoKBAqTVuaWlBSUkJwsLCAHT33svKyhp0XSwlbC9isVihRcvJyYGvry/3vqysDHfv3sXJkyeRl5cHX19fpKSkcOs7Ojpw/vx5bNu2DQkJCejs7EReXh5ycnJw69Yt3LhxA0D3wU1PT8elS5fQ3NyM/Px8pVjkcjleffVVHDlyBJmZmSguLkZGRoYGv73h0afjZWlpicTEREyePFlheX19PSZMmID09HQEBATAz88PVVVVg+4DP7TxKp4wTk5O4PP5qKyshLm5OSQSCezt7bn1M2fOhKmpKU6cOIE//vgD169fh4mJCbd+9uzZ3OuSkhJERkaCz+eDz+fj2LFjALpnBXRzc+MO2JQpU/q83lq5cqXC+7Vr1yIjIwMhISHD+ZUNmj4dL1VkMhkaGhogEAhw4sQJ/P777wgKCoK1tTWcnJwe+ztTC/uI5cuX4+zZszhz5gx8fHwU1hUVFWHDhg0AugemCwwMVFjfuwulsbGxwuOwpqYm/P3339y6Hjwer89hW3JychTuI7D/m8eFKNKX46WKhYUFAHBDA1tbW2PWrFnclB+PixL2ET4+Prh48SLy8vKwbNkyhXVXr17FwoULsWrVKjg5OaGgoEDldeW8efOQnZ0NhmHQ1dWF8PBw3Lx5c8Bx1NTUICEhAXK5HB0dHcjMzKShefqgL8dLlUmTJmHatGncneE///wTpaWlg2pdAUpYJZaWlrC1tYWNjY3Ss+aAgADcuHEDIpEIvr6+mDRpEhoaGsAwjNJ2wsLCMGLECPj4+EAsFsPV1RVLly4dcBxhYWEwNTWFSCTC8uXLMXPmzGGZI+ZJoy/Hqz+JiYkoLi6Gt7c3goODERoaiunTpw9qWyq7JhJC9A+1sIQYEEpYQgwIJSwhBoQSlhADQglLiAGhJ/GE09DQgCVLlnC9hRiGgYmJCdasWaP2GXBiYiIcHR1p3iUNo4QlCkaPHq3QP7exsREhISHg8/lwd3dX+bnr16/Dzs5OGyE+1ShhSb+ee+45hIeHIzU1Ffb29ti1axckEgnu3bsHR0dHxMfH49SpU6isrMS+ffvA5/Ph6uqK/fv34+bNm5DL5XjxxRexY8cObiwuMnh0DUvUcnR0RHV1NbKysiAWi5GVlYX8/Hw0NDSgqKgIQUFBcHJywvbt27FkyRIkJyeDz+fj66+/xtmzZ2FhYYH9+/fr+ms8EaiFJWrxeDyMHj0a27Ztw9WrV5GSkoK6ujrcvXu3z9rQoqIiPHjwACUlJQC6K1bMzc21HfYTiRKWqFVRUQF7e3ts2bIFcrkcnp6eWLBgAZqamvqsXGEYBlFRUXB1dQUASCSSAY9sT/pHp8SkX7W1tTh8+DDWrVuH4uJihIaGcneMy8rKuOoXPp+Phw8fAugeED4zMxNdXV1gGAbR0dGIi4vT2Xd4klALSxR0dHRwdaVGRkYYNWoUtmzZggULFmDz5s0IDQ3FmDFjIBAIMGfOHNTX1wMAFi1ahLi4OMhkMmzatAkxMTHw9fWFXC7H1KlTERERocuv9cSgah1CDAidEhNiQChhCTEglLCEGBBKWEIMCCUsIQaEEpYQA0IJS4gBoYQlxID8F/KdH+huQbG5AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 216x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(3,4))\n",
    "\n",
    "figureage1 = sns.lineplot(x='date',y='ind_impact_1',data=opinionageyoung, zorder=1, alpha=1, color = colorsmain[3], label ='Men')\n",
    "figureage1 = sns.lineplot(x='date',y='ind_impact_1',data=opinionageold, zorder=1, alpha=1, color = colorsmain[1], label ='Women')\n",
    "figureage1 = sns.scatterplot(x='date',y='ind_impact_1',data=opinionageyoung, zorder=1, alpha=1, color = colorsmain[3], label ='')\n",
    "figureage1 = sns.scatterplot(x='date',y='ind_impact_1',data=opinionageold, zorder=1, alpha=1, color = colorsmain[1], label ='')\n",
    "figureage1.set_title('\"The World will be severely\\naffected by the coronavirus\"\\n', fontweight='bold',fontsize=13)\n",
    "figureage1.set(ylim=(0, 1))\n",
    "figureage1.set(xlim=(0.75, 2.25))\n",
    "figureage1.set_ylabel('Fraction Agreeing', fontsize=12)\n",
    "figureage1.set_xlabel('Date', fontsize=12)\n",
    "figureage1.set_xticks([1,2])\n",
    "figureage1.set_xticklabels(['March 5','March 16'], fontsize=12)\n",
    "figureage1.set_yticklabels(['0%','20%','40%','60%','80%','100%'], fontsize=12)\n",
    "figureage1.legend(['Age < 55','Age >= 55'],fontsize=12,loc='lower right')\n",
    "\n",
    "fig.savefig(\"output/figures/figureageold_1_a4.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "fig = plt.figure(figsize=(3,4))\n",
    "\n",
    "figureage2 = sns.lineplot(x='date',y='ind_impact_2',data=opinionageyoung, zorder=1, alpha=1, color = colorsmain[3], label ='Men')\n",
    "figureage2 = sns.lineplot(x='date',y='ind_impact_2',data=opinionageold, zorder=1, alpha=1, color = colorsmain[1], label ='Women')\n",
    "figureage2 = sns.scatterplot(x='date',y='ind_impact_2',data=opinionageyoung, zorder=1, alpha=1, color = colorsmain[3], label ='')\n",
    "figureage2 = sns.scatterplot(x='date',y='ind_impact_2',data=opinionageold, zorder=1, alpha=1, color = colorsmain[1], label ='')\n",
    "figureage2.set_title('\"The US will be severely\\naffected by the coronavirus\"\\n', fontweight='bold',fontsize=13)\n",
    "figureage2.set(ylim=(0, 1))\n",
    "figureage2.set(xlim=(0.75, 2.25))\n",
    "figureage2.set_ylabel('Fraction Agreeing', fontsize=12)\n",
    "figureage2.set_xlabel('Date', fontsize=12)\n",
    "figureage2.set_xticks([1,2])\n",
    "figureage2.set_xticklabels(['March 5','March 16'], fontsize=12)\n",
    "figureage2.set_yticklabels(['0%','20%','40%','60%','80%','100%'], fontsize=12)\n",
    "figureage2.legend(['Age < 55','Age >= 55'],fontsize=12,loc='lower right')\n",
    "\n",
    "fig.savefig(\"output/figures/figureageold_2_a4.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "fig = plt.figure(figsize=(3,4))\n",
    "\n",
    "figureage3 = sns.lineplot(x='date',y='ind_worry_corona_econ',data=opinionageyoung, zorder=1, alpha=1, color = colorsmain[3], label ='Men')\n",
    "figureage3 = sns.lineplot(x='date',y='ind_worry_corona_econ',data=opinionageold, zorder=1, alpha=1, color = colorsmain[1], label ='Women')\n",
    "figureage3 = sns.scatterplot(x='date',y='ind_worry_corona_econ',data=opinionageyoung, zorder=1, alpha=1, color = colorsmain[3], label ='')\n",
    "figureage3 = sns.scatterplot(x='date',y='ind_worry_corona_econ',data=opinionageold, zorder=1, alpha=1, color = colorsmain[1], label ='')\n",
    "figureage3.set_title('\"Are you worried about the\\neffects of the coronavirus\\non the US economy?\"', fontweight='bold',fontsize=13)\n",
    "figureage3.set(ylim=(0, 1))\n",
    "figureage3.set(xlim=(0.75, 2.25))\n",
    "figureage3.set_ylabel('Fraction Indicating \"Worried\"/\"Very Worried\"', fontsize=12)\n",
    "figureage3.set_xlabel('Date', fontsize=12)\n",
    "figureage3.set_xticks([1,2])\n",
    "figureage3.set_xticklabels(['March 5','March 16'], fontsize=12)\n",
    "figureage3.set_yticklabels(['0%','20%','40%','60%','80%','100%'], fontsize=12)\n",
    "figureage3.legend(['Age < 55','Age >= 55'],fontsize=12,loc='lower right')\n",
    "\n",
    "fig.savefig(\"output/figures/figureageold_3_a4.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "fig = plt.figure(figsize=(3,4))\n",
    "\n",
    "figureage4 = sns.lineplot(x='date',y='ind_worry_perecon',data=opinionageyoung, zorder=1, alpha=1, color = colorsmain[3], label ='Men')\n",
    "figureage4 = sns.lineplot(x='date',y='ind_worry_perecon',data=opinionageold, zorder=1, alpha=1, color = colorsmain[1], label ='Women')\n",
    "figureage4 = sns.scatterplot(x='date',y='ind_worry_perecon',data=opinionageyoung, zorder=1, alpha=1, color = colorsmain[3], label ='')\n",
    "figureage4 = sns.scatterplot(x='date',y='ind_worry_perecon',data=opinionageold, zorder=1, alpha=1, color = colorsmain[1], label ='')\n",
    "figureage4.set_title('\"Are you worried about the effects\\nof the coronavirus on your\\nhousehold’s economic situation?\"', fontweight='bold',fontsize=13)\n",
    "figureage4.set(ylim=(0, 1))\n",
    "figureage4.set(xlim=(0.75, 2.25))\n",
    "figureage4.set_ylabel('Fraction Indicating \"Worried\"/\"Very Worried\"', fontsize=12)\n",
    "figureage4.set_xlabel('Date', fontsize=12)\n",
    "figureage4.set_xticks([1,2])\n",
    "figureage4.set_xticklabels(['March 5','March 16'], fontsize=12)\n",
    "figureage4.set_yticklabels(['0%','20%','40%','60%','80%','100%'], fontsize=12)\n",
    "figureage4.legend(['Age < 55','Age >= 55'],fontsize=12,loc='lower right')\n",
    "\n",
    "fig.savefig(\"output/figures/figureageold_4_a4.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "opinionpolitical=pd.read_stata('output/figures/raw/opinions_political.dta')\n",
    "opinionpoliticaldem= opinionpolitical.loc[opinionpolitical['political']=='democrat']\n",
    "opinionpoliticalrep= opinionpolitical.loc[opinionpolitical['political']=='republican']\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(3,4))\n",
    "\n",
    "figurepol1 = sns.lineplot(x='date',y='ind_impact_1',data=opinionpoliticaldem, zorder=1, alpha=1, color = 'blue', label ='Men')\n",
    "figurepol1 = sns.lineplot(x='date',y='ind_impact_1',data=opinionpoliticalrep, zorder=1, alpha=1, color = 'red', label ='Women')\n",
    "figurepol1 = sns.scatterplot(x='date',y='ind_impact_1',data=opinionpoliticaldem, zorder=1, alpha=1, color = 'blue', label ='')\n",
    "figurepol1 = sns.scatterplot(x='date',y='ind_impact_1',data=opinionpoliticalrep, zorder=1, alpha=1, color = 'red', label ='')\n",
    "figurepol1.set_title('\"The World will be severely\\naffected by the coronavirus\"\\n', fontweight='bold',fontsize=13)\n",
    "figurepol1.set(ylim=(0, 1))\n",
    "figurepol1.set(xlim=(0.75, 2.25))\n",
    "figurepol1.set_ylabel('Fraction Agreeing', fontsize=12)\n",
    "figurepol1.set_xlabel('Date', fontsize=12)\n",
    "figurepol1.set_xticks([1,2])\n",
    "figurepol1.set_xticklabels(['March 5','March 16'], fontsize=12)\n",
    "figurepol1.set_yticklabels(['0%','20%','40%','60%','80%','100%'], fontsize=12)\n",
    "figurepol1.legend(['Democrat','Republican'],fontsize=12,loc='lower right')\n",
    "\n",
    "fig.savefig(\"output/figures/figurepolitical_1_a4.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "fig = plt.figure(figsize=(3,4))\n",
    "\n",
    "figurepol2 = sns.lineplot(x='date',y='ind_impact_2',data=opinionpoliticaldem, zorder=1, alpha=1, color = 'blue', label ='Men')\n",
    "figurepol2 = sns.lineplot(x='date',y='ind_impact_2',data=opinionpoliticalrep, zorder=1, alpha=1, color = 'red', label ='Women')\n",
    "figurepol2 = sns.scatterplot(x='date',y='ind_impact_2',data=opinionpoliticaldem, zorder=1, alpha=1, color = 'blue', label ='')\n",
    "figurepol2 = sns.scatterplot(x='date',y='ind_impact_2',data=opinionpoliticalrep, zorder=1, alpha=1, color = 'red', label ='')\n",
    "figurepol2.set_title('\"The US will be severely\\naffected by the coronavirus\"\\n', fontweight='bold',fontsize=13)\n",
    "figurepol2.set(ylim=(0, 1))\n",
    "figurepol2.set(xlim=(0.75, 2.25))\n",
    "figurepol2.set_ylabel('Fraction Agreeing', fontsize=12)\n",
    "figurepol2.set_xlabel('Date', fontsize=12)\n",
    "figurepol2.set_xticks([1,2])\n",
    "figurepol2.set_xticklabels(['March 5','March 16'], fontsize=12)\n",
    "figurepol2.set_yticklabels(['0%','20%','40%','60%','80%','100%'], fontsize=12)\n",
    "figurepol2.legend(['Democrat','Republican'],fontsize=12,loc='lower right')\n",
    "\n",
    "fig.savefig(\"output/figures/figurepolitical_2_a4.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "fig = plt.figure(figsize=(3,4))\n",
    "\n",
    "figurepol3 = sns.lineplot(x='date',y='ind_worry_corona_econ',data=opinionpoliticaldem, zorder=1, alpha=1, color = 'blue', label ='Men')\n",
    "figurepol3 = sns.lineplot(x='date',y='ind_worry_corona_econ',data=opinionpoliticalrep, zorder=1, alpha=1, color = 'red', label ='Women')\n",
    "figurepol3 = sns.scatterplot(x='date',y='ind_worry_corona_econ',data=opinionpoliticaldem, zorder=1, alpha=1, color = 'blue', label ='')\n",
    "figurepol3 = sns.scatterplot(x='date',y='ind_worry_corona_econ',data=opinionpoliticalrep, zorder=1, alpha=1, color = 'red', label ='')\n",
    "figurepol3.set_title('\"Are you worried about the\\neffects of the coronavirus\\non the US economy?\"', fontweight='bold',fontsize=13)\n",
    "figurepol3.set(ylim=(0, 1))\n",
    "figurepol3.set(xlim=(0.75, 2.25))\n",
    "figurepol3.set_ylabel('Fraction Indicating \"Worried\"/\"Very Worried\"', fontsize=12)\n",
    "figurepol3.set_xlabel('Date', fontsize=12)\n",
    "figurepol3.set_xticks([1,2])\n",
    "figurepol3.set_xticklabels(['March 5','March 16'], fontsize=12)\n",
    "figurepol3.set_yticklabels(['0%','20%','40%','60%','80%','100%'], fontsize=12)\n",
    "figurepol3.legend(['Democrat','Republican'],fontsize=12,loc='lower right')\n",
    "\n",
    "fig.savefig(\"output/figures/figurepolitical_3_a4.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "fig = plt.figure(figsize=(3,4))\n",
    "\n",
    "figurepol4 = sns.lineplot(x='date',y='ind_worry_perecon',data=opinionpoliticaldem, zorder=1, alpha=1, color = 'blue', label ='Men')\n",
    "figurepol4 = sns.lineplot(x='date',y='ind_worry_perecon',data=opinionpoliticalrep, zorder=1, alpha=1, color = 'red', label ='Women')\n",
    "figurepol4 = sns.scatterplot(x='date',y='ind_worry_perecon',data=opinionpoliticaldem, zorder=1, alpha=1, color = 'blue', label ='')\n",
    "figurepol4 = sns.scatterplot(x='date',y='ind_worry_perecon',data=opinionpoliticalrep, zorder=1, alpha=1, color = 'red', label ='')\n",
    "figurepol4.set_title('\"Are you worried about the effects\\nof the coronavirus on your\\nhousehold’s economic situation?\"', fontweight='bold',fontsize=13)\n",
    "figurepol4.set(ylim=(0, 1))\n",
    "figurepol4.set(xlim=(0.75, 2.25))\n",
    "figurepol4.set_ylabel('Fraction Indicating \"Worried\"/\"Very Worried\"', fontsize=12)\n",
    "figurepol4.set_xlabel('Date', fontsize=12)\n",
    "figurepol4.set_xticks([1,2])\n",
    "figurepol4.set_xticklabels(['March 5','March 16'], fontsize=12)\n",
    "figurepol4.set_yticklabels(['0%','20%','40%','60%','80%','100%'], fontsize=12)\n",
    "figurepol4.legend(['Democrat','Republican'],fontsize=12,loc='lower right')\n",
    "\n",
    "fig.savefig(\"output/figures/figurepolitical_4_a4.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Figure A.5\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "figure_us_recession = pd.read_csv('data/timeseries/usmarch.csv', delimiter = ',')\n",
    "figure_us_recession['dayrunner'] = figure_us_recession.index\n",
    "figure_us_recession.columns=['day','intensity','runner']\n",
    "\n",
    "figure_world_recession = pd.read_csv('data/timeseries/worldwidemarch.csv', delimiter = ',')\n",
    "figure_world_recession['dayrunner'] = figure_world_recession.index\n",
    "figure_world_recession.columns=['day','intensity','runner']\n",
    "\n",
    "figure_us_stock = pd.read_csv('data/timeseries/usstockmarch.csv', delimiter = ',')\n",
    "figure_us_stock['dayrunner'] = figure_us_stock.index\n",
    "figure_us_stock.columns=['day','stock','runner']\n",
    "\n",
    "figure_world_stock = pd.read_csv('data/timeseries/worldstockmarch.csv', delimiter = ',')\n",
    "figure_world_stock['dayrunner'] = figure_world_stock.index\n",
    "figure_world_stock.columns=['day','stock','runner']\n",
    "\n",
    "figure_us_conspiracy = pd.read_csv('data/timeseries/usconspiracymarch.csv', delimiter = ',')\n",
    "figure_us_conspiracy['dayrunner'] = figure_us_conspiracy.index\n",
    "figure_us_conspiracy.columns=['day','conspiracy','runner']\n",
    "\n",
    "figure_world_conspiracy = pd.read_csv('data/timeseries/worldconspiracymarch.csv', delimiter = ',')\n",
    "figure_world_conspiracy['dayrunner'] = figure_world_conspiracy.index\n",
    "figure_world_conspiracy.columns=['day','conspiracy','runner']\n",
    "\n",
    "figure_us_survival = pd.read_csv('data/timeseries/ussurvivalismmarch.csv', delimiter = ',')\n",
    "figure_us_survival['dayrunner'] = figure_us_survival.index\n",
    "figure_us_survival.columns=['day','survival','runner']\n",
    "\n",
    "figure_world_survival = pd.read_csv('data/timeseries/worldsurvivalismmarch.csv', delimiter = ',')\n",
    "figure_world_survival['dayrunner'] = figure_world_survival.index\n",
    "figure_world_survival.columns=['day','survival','runner']\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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m559/5q+//uLNN99k0qRJL72WhYUFa9eupWHDhgQHBxMUFESDBg1YuXLlc8t3796dypUr89tvv2nvvj09PalevTqQtxUSFBTEkiVLSE1N1el7s7a2ZtGiRSgUCr7++mtiYmKYMmUKvXv35vjx4wQFBdG4cWMCAgKQy+UvfA8aNWrEl19+SWpqKj/88AMajYavv/4aHx8fOnTowMyZM5EkiTVr1nD16lUGDx7MsGHDKFeuHN9//z3VqlXjp59+4uDBg7Rv3/65gw0g+3f5vffeIyIigu3bt1O3bl1++uknXFxcdPqehaKRiZ0N89ejRw8iIiLo06cPc+fOzXM+p8sHYMWKFdrRSYJQ3N555x3+/vtv9u7dq00oglAcRBIRhFJsz549nD59mi1btuDt7c22bduMHZLwHyO6swShFDt79ixBQUHUrl1bO3dDEIqTaIkIgiAIhSZaIoIgCEKhiSQiCIIgFNorP0/k7Nmz2uXbCyojI0Pn1xakbEkrL2LRT3kRi37Ki1iME8uzr81ZNeKlpFfc5cuXi+W1Ba2nJJUXseinvIhFP+VFLMaJpbCvNUp3VmZmJl27duXPP//UHktMTGTcuHHUr1+fNm3a5FluJCIigjfffBNvb2969+6da6VWQRAEwTiKPYlkZGTw8ccf51mczt/fn8TERLZs2cKoUaOYPn06Z86cASA1NZWhQ4fi7e1NcHAwvr6+DB8+/JVehl0QBKE0KNYkcv36dfr3769dAjvH7du3OXr0KHPmzNHuCdC9e3d++uknAPbt26ddgrxatWpMnjwZGxsb9u/fX5zhC4IgCM/QKYnoa/OW06dP06xZM37++edcx8+dO4eTk5N26W0AX19f7SJ8586do379+rlWQa1fvz7h4eF6iUsQBEEoHJ1GZ7Vo0YKmTZvStWtX2rVrh7W1daEqGzBgwHOPx8bGapcJz+Hg4EB0dLT2fJUqVfKc12Wr0/yoVCru3r2r3XIzvzJPb+f5suvpWraklTdWLCYmJtja2uLo6FikJdsFQcgt9col5KdPwVP7rBiKTklk9+7d7N+/nzVr1jBjxgz8/Pzo0qULrVu3zrW/Q2GlpaXluY6ZmRkqlQpJkvI9n99e30/LyMh47geYWq3GwcEBFxeXfPcXkCRJ570HClK2pJU3RiySJKFWq4mLiyMmJka77Hl6enqBElRJKi9i0U95EUvRy5rsDEb24D5XGjTROZbC0imJVK1aldGjRzN69Gj++ecfDh48yOrVq5k6dSpt2rSha9euNG/evNCbvSiVyjwJITMzE3Nzc2Qy2QvP63LtWs/JxleuXNFuaJOftLQ0LCwsdPoeClK2pJU3ZizW1tZcvXpV+x5duXLlue9XfkpSeRGLfsqLWIpe9m6QitSyZQsUy7N16arAfQj29vY4ODhgZ2dHZmYmt2/fZvbs2bRr146//vqroJcDsjeWiYuLy3UsLi5OuzOai4tLnr22nz5fWGKHM+MT3ViCoH/qhDgoU7ZY6tLpf3B8fDybN2/m3Xffxc/Pj+3bt9O4cWMOHDjAli1bOHz4MO3bt9duSFRQPj4+xMTEaLdnBQgLC8Pb2xsAb29vwsPDtVuCSpJEeHi47jMqBUEQ/iOkrCzUjx4h2ZQplvp0SiItWrRg/fr1+Pr6smvXLn755Rc+/PDDXNtVNm3alBo1ahQqiIoVK9K8eXMmTpxIREQEQUFB7N69m3feeQeAjh07kpqaypw5c7h+/Trz5s0jOTmZzp07F6o+QRCEV5U68RFIElIxtUR0eiayZcsW6tSpk6frISsri6tXr+Lp6Ymfnx9+fn6FDmTBggVMmTKF/v374+joyBdffEG9evWA7H7zVatWMWPGDLZv346HhwerV68u9Cixks7Dw4MaNWogl8uRyWSkpaVhaWnJ7NmzqVOnjrHDo3///mzevJkyZYrnTkcQBN2p4/99NFCSksiAAQP4448/sLe3z3X8zp07DBw4kHPnzhW44qtXr+b62sHBgYCAgHzL161bN89SKK+y9evX5/p5BwQE8MUXX+SZY2MM27ZtK9CDdUEQio86IR7A+C2Rn3/+mZUrV2YHI0n07NkzT0vkyZMnvPbaa4aNsBgk/fEbSb8dzXNco9Ho/OD3ZWXLtGxNmWYtCxWfWq0mOjqasmX//0uxcuVKDh06hEajwc3NjRkzZmgHIMyYMYPIyEhMTEwYMGAAgwYN4smTJ3z55Zf8888/qFQqmjZtyueff46pqSkrVqzg2LFjKBQK7OzsmDdvHs7OzixdupTDhw/nOe7j40NoaCj29vYsX76cvXv3YmJiQpUqVZg2bRpOTk68++67+Pj4cObMGe7du0ezZs2YM2eOeJAuCAambYkU0zORfJNI7969USqVaDQaJk+ezNChQ7GxsdGel8lkWFpa0qSJ4cch/xcNHjwYgEePHqFUKmnRooV2+9MdO3bwzz//sH37dkxNTfn555+ZOnUq33//PbNmzaJy5cosWrQItVrNwIED8fPzIyAgAC8vL+bPn09WVhb+/v6sW7eOrl278tNPPxEaGoqZmRk//PAD58+fx8vLi/Xr1+c53q5dO22MQUFBnDhxgsDAQCwtLVm2bBn+/v6sXbsWyF7OZuPGjcTHx9O7d29OnTolfl8EwcDU8fHILa2gkMvAF1S+SUShUNCzZ08AKlSoQP369bUTwl41ZZq1fG4rwZBzLV4mpzvr0qVLDBs2jIYNG+Lg4ADA0aNHuXDhAn369AGyW0FpaWkA/Pnnn3z22WcA2NjYsGfPHgCOHTvGhQsXCAwMBNDO1HdxcaFGjRr06tWLli1b0rJlS5o2bYpGo6FmzZp5jj/tt99+o3fv3lhaWgIwaNAgAgICtHN6WrdujVwux9raGnd3dx4/fqy3n48gCM+nSojH1MGBjGKqL9+ssGTJEoYNG4aFhQWhoaGEhobme5Hx48cbJDgBvLy8mDRpEtOnT8fb25sKFSqg0WgYOnQob731FpA98TLnA9rU1DTX/Jc7d+5gZ2eHRqNhyZIlVKtWDYCkpCRkMhlyuZy1a9dy/fp1QkNDmTt3Li1atODzzz9n06ZNXLhwIc/xHBqNJlddGo0GtVqt/frpyaAymUw7RFsQBMNRx8dhau9QbPXl20F9+vRpVCqV9t/5/QkLCyu2YP+runbtipeXl7Y7q3nz5gQGBmqXwl+yZIn2w71p06YEBQUB2c+sBg8ezM2bN2nevDk//vgjkiSRmZnJyJEj2bRpExEREfTp04dq1aoxfPhwhgwZwoULF4iIiKBr1655jj+tRYsWBAUFkZqaCsDGjRtp2LChXpbCEQShcNQJ8Zg6OBZbffm2RDZu3PjcfwvGMWnSJPr168eJEyfo168fMTEx9O/fH5lMhqurK/Pnzwdg+vTpzJw5k379+gEwfPhwateuzZQpU/jyyy/p1q0bKpWK119/naFDh6JQKOjQoQN9+vTB0tISc3Nzpk6dSs2aNenUqVOe40/r27cvDx48oF+/fmg0Gtzd3Vm4cGGx/2wEQcimSU9Hk5KMwr4EJJGnaTQaAgMDad68OeXLl+e7775j//791K5dm6lTp+Z64C4U3bPDnwEqV67MxYsXtV+PGzeOcePG5Snn4ODAsmXL8jyjsbe3Z9GiRc+tb8SIEUyYMCHP8TFjxjBmzJg8x8+ePau99vjx45/bnfnsjYe4EREEw8sZ3lsiurOe9vXXX7NkyRISExM5fvw4AQEBdO3aldu3b/PFF18YOkZBEARBB+qE7OG9pg4lLIns3r2bJUuW4Onpyd69e2natCkjR45k5syZhISEGDpGQRAEQQeq+BLaEklJScHV1RWNRsNvv/1Gq1atAEr9kF8xWsj4xHsgCPqjTogHmQxTO/uXF9YTnbKAl5cXq1atws7OjqSkJNq2bUt0dDTffPNNqV1J18TEBJVKJUYSGVlaWhoKhcLYYQjCK0EdH4eJrR2yYrzB16klMn36dM6dO8fmzZuZNm0a5cqVY+3atTx48IDp06cbOkaDsLW1JSYmBo1GY+xQ/pMkSSI1NZV79+7l2RpZEITCKe45IqBjS6RGjRrs3Lkz17HPPvusVN/FOzo6cvfu3eeOhMqhUql0vksuSNmSVt5YsSgUClxcXMRqwIKgJ+qEeJTulYu1Tp3bPJGRkVy8eBG1Wp2nH7tv3756D8zQ5HI5lSpVemGZ0rqNZkHLl6RYBEEoHEmSUCfEY1XPt1jr1SmJrF69mm+++YayZctiZWWV65xMJiuVSUQQBOFVonnyBEmlKtbZ6qBjEtm6dSsTJkxg+PDhho5HEARBKARVzhyRYpytDjo+WE9KSuKNN94wdCyCIAhCIeXsI1KcEw1BxyTSo0cPtm7dKsb0C4IglFA5S54U57pZoGN31qNHjzh06BC7d+/Gzc0tz0ibzZs3GyQ4QRAEQTfq+DhkCgXyYl7LUKckUrVqVUaMGGHoWHj8+DFz5szht99+Q6lU0qNHDyZMmICJiQmJiYlMnz6d33//HVtbW8aOHUuvXr0MHpMgCEJpoE6Ix9TeIdceP8VBpyTy9EquarUaExMTgwQ6a9YsYmNj2bRpEwkJCXz66afY2toydOhQ/P39SU1NZcuWLVy4cIHp06fj7u5O/fr19R6HIAhCaaOKL959RHLoPE9k8+bN/Pjjjzx48ID9+/ezevVq7Ozs+Oijj5DLdXq08lLHjx/nq6++okaNGkD2ZkwnT56kQ4cOHD16lEOHDuHu7o6Hhwfh4eH89NNPIokIgiCQ3Z1lWbtusder06f/unXrWLNmDaNHj9YuutisWTOCgoL49ttv9RaMra0tu3btIi0tjZiYGE6cOIGXlxfnzp3DyckJd3d3bVlfX1/Onj2rt7oFQRBKK0mtJutxolFaIjolka1btzJ79mx69uyp7cbq2LEjCxYsYMeOHXoLZsaMGZw6dYr69evTsmVLHB0dGTt2LLGxsXnWV3JwcCA6OlpvdQuCIJRW6kcJIEnFvm4WgEzSYdyut7c3e/bsoWLFitSrV49du3ZRsWJFIiMj6dOnj95aBJs2bSIkJITRo0eTnJzMnDlzaN26Nba2tpw4cYKtW7dqy4aGhjJkyBAiIiJe+Hzm7NmzKJXKQsWTnp6Oubm53suWtPIiFv2UF7Hop7yIpeBlZXduYfrTj6j7v4NUpVqhYnmWzksVSToYNGiQtHjxYkmSJMnHx0e6ffu2lJWVJfn7+0vvvvuuLpd4qVu3bkm1atWSHjx4oD0WGhoq1apVS1q1apXUq1evXOWPHTsm1a1b96XXvXz5cqFjKshrC1pPSSovYtFPeRGLfsqLWApeNumPE9K1wW9KGffuFjqWwsal04P1qVOn8uGHH3Ls2DEyMzOZMWMGN2/eJDMzkzVr1hQ60z3t4sWLWFlZUa5cOe2x2rVrk5WVRWZmJnFxcbnKx8XF4eTkpJe6BUEQSjOVEbbFzaFTEnnttdc4ePAgu3bt4saNG2RlZdG+fXu6d++eZ0HGwnJ2diYpKYkHDx7g6uoKZK8cDNCyZUuWLVvG3bt3qVChAgBhYWF4e3vrpW5BEITSTJ0Qj9zKGrmy8N1XhaVTEpk0aRJTpkyhX79+uY4/fvyYcePGsXTp0iIH4uPjQ61atZg0aRL+/v6kp6czffp0evToQd26dWnevDkTJ05k2rRpXLp0id27d7Nhw4Yi1ysIglDaGWMzqhz5JpHTp09z8+ZNAHbs2EHNmjXztDpu3LjBH3/8oZ9ATE1ZtWoVc+fOZfDgwSgUCjp27Minn34KwIIFC5gyZQr9+/fH0dGRL774gnr16umlbkEQhNJMnRCPqYNxuvfzTSLW1tasXLkSSZKQJIl169blmlQok8mwtLTk888/11swLi4uLFmy5LnnHBwcCAgI0FtdgiAIrwp1fDwWNWoape58k0jNmjU5cuQIAO+++y7fffcdZcuWLbbABEEQhJfTpKWhSU0ped1ZT9u4caP23zktk6fpa9kTQRAEoWByloA3xmx10DGJXLx4kTlz5nDx4kU0Gk2e81euXNF7YIIgCMLLqXI2oyrJLZFZs2ahVCpZtmwZ1tbWho5JEARB0FGpaIlcu3aNbdu2aVfXFQRBEEoGdXwcyGSY2toZpX6dHmbUrFmTu3cYTqzkAAAgAElEQVTvGjoWQRAEoYDUCfGY2tkhMzExSv06tUS6devG1KlT6dmzJxUrVsyzPW7fvn0NEpwgCILwYtk7GhqnKwt0TCJr167F3NycAwcO5Dknk8lEEhEEQTASdXwcyspVjVa/TkkkJCTE0HEIgiAIBSRpNKgTErDybWS0GPJNIs8bypsfMU9EEASh+GU9SUJSq4yyem+OfJOIp6fnCzd7epqYJyIIglD81PH/Du8tic9ExAq5giAIJVvOHBFFSWyJNGpkvD42QRAE4eXURp6tDjrOExEEQRBKHnVCPDIzM+TWNkaLQSQRQRCEUkoVH4epvaPOz68NQSQRQRCEUkqdEGfUkVkgkoggCEKppU5IMOrzENBxsmFmZibbt2/n6tWrZGRk5NlPZMGCBQYJThAEQXg+Sa0m63Fi6Ugi06ZN49ChQzRr1gwbG+M9wBEEQRCyqR8lgCShMNIS8Dl0SiKHDh1ixYoVNG3a1KDBqFQqFi5cyI4dOwDo2LEjU6ZMwczMjHv37jFt2jTOnDmDq6sr/v7++Pn5GTQeQRCEkko7vNfISUSnZyJlypTBycnJ0LGwYMECDh8+zIoVK1i5ciUnTpxg+fLlSJLEqFGjsLW1JTAwkF69ejFu3Dju3Llj8JgEQRBKImPvaJgj3ySi0Wi0f0aMGMGcOXO4ceMGKpUq17mCrLH1IklJSWzZsoU5c+bg6+tL/fr1GTNmDJcuXeLkyZNERUUxe/ZsqlevzrBhw6hXrx6BgYF6qVsQBKG00e5oWFKfiTy7dpYkSXTp0uW5ZfWxdlZYWBjm5ua8/vrr2mO9e/emd+/eBAQE4OnpmWtrXl9fX06fPl3kegVBEEojdXw8cmsb5EqlUeMoMWtn3b59Gzc3N/bs2UNAQACpqal07NiRCRMmEBsbi7Ozc67yDg4OREdHF2uMgiAIJYU6Id6oa2blkEnPjtfNx5kzZ9BoNDRo0ACAZcuW0bJlS7y9vfUSyIoVK1i7di3Vq1fns88+IyUlhVmzZtG2bVtSUlLIyMhg0aJF2vKBgYGsWLHipXudnD17FmUhM3V6ejrm5uZ6L1vSyotY9FNexKKf8iIW3cqarl2JZGdHVu8BeonlWbVq1dKtoKSDwMBAqU6dOtKmTZu0x/z9/aW6detKe/fu1eUSL7Vq1SqpRo0a0q1bt7TH9u/fL9WpU0eaPn26NHbs2FzlN2/eLHXq1Oml1718+XKhYyrIawtaT0kqL2LRT3kRi37Ki1h0Kxs5Yoj0cMMPeoulsK/VaXRWQEAA8+bN4+2339YemzdvHl9++SVLly4tVJZ7lrOzM6amplSqVEl7rEqVKmRkZODk5ERsbGyu8nFxccUyYkwQBKGkyUpNRZOWZvThvaDjEN/Y2Fi8vLzyHK9duzYPHjzQSyA+Pj6o1WquXr2qPRYZGYmVlRU+Pj5ERESQmpqqPRcWFoaPj49e6hYEQShNSsrILNAxidSpU4f169fnWe5k8+bN1KxZUy+BVK5cmbZt2zJp0iQuXrzI6dOnWbhwIf3796dp06aUL18ef39/rl27xurVqzl37hz9+vXTS92CIAiliTohZ6Kh8ZOITjPWJ02axHvvvcfx48e1D1tyWgarVq3SWzALFizgyy+/ZPDgwZiamtKzZ08++eQTTExMWLFiBVOmTKF3795UqlSJ7777jgoVKuitbkEQhNIiZ1tcYy95AjomkZo1a3LgwAH27dtHZGQkCoWCZs2a0b1791xzN4rK2tqaefPmMW/evDzn3N3d2bRpk97qEgRBKK3UCfEgl2Nia2fsUHRLIt27d2fhwoW5HqwLgiAIxqGOj8PUzh6Z3Pi7eegUwePHjzExMTF0LIIgCIIOsnc0NP7zEChAS+T999+nW7duuLm55Zm817dvX4MEJwiCIOSlTojHvFp1Y4cB6JhE9u/fj0Kh4MCBA3nOyWQykUQEQRCKiaTRoE6Ix7RhE2OHAuiYRF62tIggCIJQPLKSkiArq3R1Z0H2hMOoqCiysrK0xzIzM7l8+TIjR440SHCCIAjGknr5Iqbr15A5/jPMyrsZOxytnDkiJWF4L+iYRLZs2cIXX3xBVlYWMplMO+lQJpPh7e0tkoggCK+cpKO/IouJ5t7XX1Jh8kwUTs4vf1ExUJeQzahy6DQ66/vvv2fkyJGcP38eBwcHjh49yp49e6hVqxZt27Y1dIyCIAjFSlKrSblwDo17FaTMDO5//SXqxEfGDgt4asmTEtIS0SmJPHz4kJ49e2JmZoaXlxfh4eFUr16dKVOmsH37dkPHKAiCUKzSrl5BSk9D49uY8hP8UT9O5P7CuWQlJxs7NFTxcciUSuRWVsYOBdAxiTg4OJCQkABA1apVtTsZOjs78/DhQ8NFJwiCYAQpZ8OQKRRIlatiXv01XMd/hio6mvvfzEOTlmbU2NQJ8ZjaO+TaedaYdEoinTt3ZuLEiYSFhdGiRQuCgoLYt28fS5cuxd3d3dAxCoIgFBtJkkg5ewYLz9qgUABg6Vkbl1HjybgZxYOlC9FkZhotPnV8fInpygIdk8gnn3xC9+7dSUxM5PXXX6dfv37Mnj2bCxcuMHPmTAOHKAiCUHwy799FHfsQKx/fXMet6zfAZego0iIuE71iCZJabZT41PFxKErIQ3XQcXSWqalprhFYEyZMYMKECQYLShAEwVhSw88AYOVTH6Jjcp2zeb05mrRUYjf+QMyalbgMG12s61dJKhVZSY9LX0sE4NixYwwZMoQ2bdpw7949vv32W37++WdDxiYIglDsUs6GoXSvgqmd/XPPl23bAYe+A0k++QexG3/Is8+SIakflZzNqHLolER27tzJ559/ToMGDYiPj0ej0eDk5MT8+fP58ccfDRyiIAhC8chKSiI98hqWPvVfWM6uaw9sO3cn6eivxAduLaboQBWfM7y3lCWRNWvWMGvWLMaMGYP836bb22+/zbx589iwYYNBAxQE4T+mGO/sn5VyPhwkCat6vi8t69BvIGVatyNx704e7dlZDNE9vS1uKevOun37NrVr185zvFatWsTFxek9KEEQ/psSD+/HdPUyslJSjFJ/ytkwTGztULpXeWlZmUyG07vvY92kGfGBW3gccsjg8ZW02eqgYxKpUaMGx48fz3M8KCgIDw8PvQclCMJ/U+q5s8gSHxG/fUux1y2pVKRePI+VT32d52DI5HJcho7E0seX2I3rkF2+YNAY1QnxmNiUQW5mZtB6CkKn0VkTJ05k+PDhhIaGolKpWLFiBVFRUURERBAQEGDoGAVB+A+QJIn0qEgkU1OSjv2KTbMWWLxWfDep2bPU07NHZRWAzNSUcqPGc3/BF6T9uh9Nt54G+5BXx8eVqJFZoGNLpEGDBhw8eJAaNWrQpk0bkpKSaNCgAfv27aNJk5Kxpr0gCKWbOjYGTUoympZtMHVwJHb9mmKdi5Fy9gwyMzMsPOsU+LVyMzPse/dDlpZG8t8nDRBdtpzZ6iWJzkvBOzo6Mn78eEPGojVlyhRu377Nxo0bAYiIiGDGjBlERERQrVo1Zs6cSd26dYslFkEQikf6jUgANJWq4FTXmwfffs2jA3uw79rT4HVnz1IPw8KzTqFbERa1aiPZO/D4yEHKNGup5wgBSUIVH5c9k74EeWFL5NKlS8ycOVO7blZiYiJjx46lfv36tGvXziDzREJDQwkMDNR+nZqaytChQ/H29iY4OBhfX1+GDx9OcglYCE0QBP1Jj4pEZmYGjk5Y+fhi1aARj3YGoXoYbfC6M+/dRR0Xi5VPvUJfQyaToanXkIwbkaRHReoxun9lZCClp5eokVnwgiRy8uRJ3nzzTSIjI1H/26T89NNPOXHiBJ988gljx45l+fLl7NixQ2/BpKamMm3aNOrX/3+f5L59+1AoFPj7+1OtWjUmT56MjY0N+/fv11u9giAYX8aNSJSVKoOJCQBObw8BE1MebjD8hL6Us2EAWHkX7HnIszR1vJEplTwOOayPsHJ78hgoWXNE4AVJZMWKFbz//vts3LgRZ2dnIiMj+f333xk4cCBvv/02PXr04PPPP2f9+vV6C2bx4sU0atSIRo0aaY+dO3eO+vXra+enyGQy6tevT3h4uN7qFQTBuKSsLDJuRaGsWk17zNTOHoe+A0i7eJ7kk38YtP7Us2EoK1fNd5a6zpTm2DRtQfLJP8hKfqKf4P4lS8pOIooS1hLJ95nIpUuXmDFjhvbrEydOIJPJ6NSpk/ZYnTp1uHHjhl4CCQ8P58CBA+zZs4cffvhBezw2NpYqVXKP2XZwcCAiIkKn62ZkZGiXri+o9PR0nV9bkLIlrbyIRT/lRSxFKP8wGkVmJvFKi9xlXStg4upG9MZ13FVagoWF/mNJScH0+jU0zfzyXKcw146vWh3FsV+5HrgNTePXCxbLC2TFx2MKRCUkgA6vKWjshZVvEtFoNCj+XQYZsp9VlC1bljp1/j9yIS0tDaVSWeQgMjMzmTJlCpMnT6Zs2bK5zqWlpWH2zIMuMzMzMnVcilmpVFKrVq1CxXXlyhWdX1uQsiWtvIhFP+VFLIUv//jhA2KBqs1aEPkoMVfZjJHjuDNzEg7nTuP83jC9x5J04hgPAff2HTGvXOWFZXW6dr163P39GOpL53Af9N4LF2gsyPWvHj8CJibUbNBQp0UfCxr7s6/VVb6ReHl5ceLECQDi4uIIDQ2ldevWuSbh7Nixg5o1axYqyKctX74cd3f3XK2cHEqlMk/CyMzMxNzcvMj1CoJQMmRERSK3tELhUi7POWUld2zf6ELS8RDSrur/zjrl7BlM7OxRulfW2zXLtu2AOvYhqRfO6e2asqTHmNrZF+uqwbrItyUyevRoRo4cyYkTJ/jnn38wNTVl+PDhQHZX1/bt29m+fTsrVqwochC7d+8mNjaWevWyR0aoVCqysrKoV68eXbt2JTY2Nlf5uLg4nJycilyvIAglQ/qNSJRVquY7U9y+Zx+ST4XycP0aKs3+CpmpzrMTXkhSqUi9dB6bJs31ulOgtW8j4sra8vjIIay8Cz/iK5cnSSVujgi8oCXStGlTtmzZQpUqVXjjjTfYvn07lStXBmDPnj2cOXOGb775Bj8/vyIHsXHjRvbs2cOOHTvYsWMH/fr1o3bt2uzYsQNvb2/Cw8O1ozMkSSI8PBwfH58i1ysIgvFpMjPJvHsb86rV8y0jV5rjNOgDVPfv8Wjfbr3VnRpxuVCz1F9GZmpKmVZtSb1wFtXDmJe/QJdrlrB9RHK8MJ3XqlXruX1qEydO1GsQbm5uub4uU6YM5ubmuLu74+DgwKJFi5gzZw5vvfUW27ZtIzk5mc6dO+s1BkEQjCPjVhRoNCirVHthOSvvelg3asKjXcFYN2qCWTnXItedejbs31nq+p/AV7ZVWx7t/oXHIYdxHPBOka4laTSlryVSUlhbW7Nq1SrCw8Pp1asXZ86cYfXq1VhbWxs7NEEQ9CDj34l55lVfnEQAHN8ajExhSuyGtUWeO5Kzl7qlV+Fnqb+IqZ09VvUbkHTiWJH3ZM96nIhMo0FRwuaIQAGWPSlOz269W7duXX755RcjRSMIgiGl34jExM4eU1u7l5Y1tbXDod9AYjf8QHLo79i83qLQ9WbevY06Pg677r0LfY2XKdv2DVJOnyL5rz8p06JVoa+jji95+4jkKPEtEUEQXm0ZUZE6tUJylGnVDmW114jdsqFIE/pScvZS19eD7+ewqOmJWfkKRdprRNJoSNgdjCSTYeZWQY/R6YdIIoIgGE1WSjKqmOiXPg95mkwux3nIh2hSU4n7eXOh6045G4aySjWdWkCFJZPJKNOmPRlRN0i/cb1Q14jf9hOp58LRtOuEwslZzxEWnc5J5NixYwwZMoQ2bdpw7949Fi9ebJAFGAVB+O/IiMpe8cK8AEkEQFmxErZvdOHJiWPIbt8scL3qx4lkREXqfVTW85Rp1gKZuTmPjxS8NZL021ESD+yhbNsOaOo3NEB0RadTEtm5cyeff/45DRo0ID4+Ho1Gg7OzM/Pnz+fHH380cIiCILyqcpZ/V1auWuDX2vfog8LZBZOgLaSEny7Qa1PP/buXus/L91IvKrmFJWVeb0nyX6FkPUnS+XVpV6/wcP0aLLzq4PjWYANGWDQ6JZE1a9Ywa9YsxowZo10I8e2332bevHls2LDBoAEKgvDqyoiKRFHOFRMrqwK/Vq5UUn7iNCR7Rx4sWUj8L9uzh8LqIOXsGUztHTCr5F7gegujTNv2SGoVSb8d1am86mEMD5Z9g8LJhXKjxiP7d2XjkkinJHL79m1q1847jrpWrVrExcXpPShBEP4b0qMiC9yV9TSFgyNZbw3BpllLHu0M4sHSRWSlpr74RWo1qRfPY1mAvdSLSulWEYuanjwOOfzSRKdJS+XBt1+DpMH1o88wsSrZ0xl0SiI1atTg+PHjeY4HBQXh4VF8eyALgvDqUD9KICvxUa7l3wtFocB56Egc3xlC6oWz3J09hcz79/ItLrsVhZSZUSzPQ55Wtk0H1PFx2V1p+ZA0GqJXLiUz5gHlRk/Qy4RKQ9NpnsjEiRMZPnw4oaGhqFQqVqxYQVRUFBEREQQEBBg6RkEQXkE5z0PMq+S/3ImuZDIZtu06oqzoTvTyb7kzeyouH47C2jfvw2hZ5D/IlEosanoVud6CsKrfABNbOx6HHMKq3vOfxcT9vInU82dxGjwUyxK2DW5+dGqJNGjQgAMHDlCjRg3atGlDUlISDRo0YN++fTRp0sTQMQqC8ArKiLoOJiZ6fS5h4VGLijPnYuZanuhli4gP3par+0iSJOTX/8HSq65BZqm/iMzUlLKt2pJ64RyZMXm3/H18PITHB/dRtn1HyrZuV6yxFYVOLZGffvqJjh07Mn78eEPHIwjCf0R61A2UFSrq/cPc1N4Bt0kziN34A492BZNxKwqXYWMwsbIi885tZE+Sir0rK0eZVm1J2P0LSSGHcRz4rvZ46pVLxG5Yi2VtbxwHvPuCK5Q8OrVENm/eTMuWLfnggw8IDg4mOTnZ0HEJgvAKkzSa7D3V9dCV9TxyMzOc3x+O07vvk3rxfPZzknt3STkbhgRYGnCW+ouY2tph7dswez2tjAwAVA+jif5uMQpnF1xK+Eis59Epiezdu5fg4GB8fHxYu3YtTZs2ZeTIkezZs4e0tDRDxygIwitG9TAaTVoq5lUKPj9EVzKZjLJtO+A2cRqatDTuzJlK0rEjSK5umJa1NVi9L1O27RtoUlOy943PSOf+t18D4PrR55hYWhotrsLSecZ6jRo1GDt2LHv37uWXX36hVq1aTJ8+nddff/EewoIgCM/KyJlk+II9RPTFokbN7Ock5d1QJ8QjVa9h8DpfxLxGTcwqVCTxyCFMdgahiomm3JgJmD1nV8fSoECr+CYnJ3P06FEOHTrE77//jpubG126dDFUbIIgvKLSoyKRmSkxK+/28sJ6YGrvQIVJM3ly8g/ulTHcWlm6kMlklG3TgdgNa5EDTu8Nw7JW8Y4U0yedkkhgYCCHDh0iNDQUFxcXunTpwpgxY8QcEUEQCiX9RiTKylWKtf9fplBQpkUr7l3R/z7tBWXzegsSD+whvWp1yvq1MXY4RaJTElm6dCkdO3ZkzJgx1K1b19AxCYLwCpPUajJv36Rsmw7GDsVo5ObmVPrqWyIiIowdSpHplESOHz9ebMsDCILwasu8dwdJpSr6TPVS7lX5TM03ibz99tusXLmSMmXK8M47L94fePPmwq/pLwjCf8v/Z6r/t5PIqyLfJNK0aVMUCoX234JQkkiSxOND+5Ffu4pUs+Yrc1f3X5ARFYnc2gbTErjBklBw+SaRMWPGaP9doUIFOnfujNkzM0tTU1MJCgrSSyC3b99m7ty5hIWFYWFhQefOnZkwYQJKpZJ79+4xbdo0zpw5g6urK/7+/vj5+emlXqH00aSnE7NmJSmn/8IEirzXtlC80m9EYl6lqkj8r4h854nEx8dz584d7ty5w6RJk4iIiNB+nfPnjz/+4Ouvvy5yEJmZmYwYMQIzMzO2bt3KwoUL+fXXX1m8eDGSJDFq1ChsbW0JDAykV69ejBs3jjt37hS5XqH0yYyJ5u4X00gJO4VD/7fRlK9Q5L22heKjyUgn896dAm2HK5Rs+bZETp8+zfjx47V3C/3799eek8lkSJIEQK9evYocxPnz57l9+zbbt2/HysqKatWqMX78eObPn4+fnx9RUVFs3rwZa2trqlevzp9//klgYCATJkwoct1C6ZFyPpyYgO9AJqP8p5Ox9KpDtLUN8vXfE/fzZlw+GGHsEIWXyLgZBZKE+X/8ofqrJN8k8sYbbxASEoJGo6Fdu3Zs374de3t77XmZTIalpSW2tkVfPqBq1aqsXr0aq6d2N5PJZGRmZnLu3Dk8PT2xtv7/xiy+vr6cPl2w7TCF0kuSJB7t2UFC8DbMKrrjOvZjFDn96U4u2L7RhcR9uyjTrCUWNT2NG6zwQun/7qkuWiKvjhcO8S1fvjzAC8cyZ2Zm5nlWUlD29va5lk/RaDRs2rQJX19fYmNjcXbO/QDOwcGB6Oi8SykLrx5NWlr284+wU1g3aYbze8OQK5W5ytj36EPy3yd5+OMaKs35Ctm/A0KEkifjxnVMHRyNunaVoF8yKadf6gUePnxIQEAA165dQ/Pv2vySJJGZmUlUVBRhYWF6DerLL79k27ZtBAYGsm7dOjIyMli0aJH2fGBgICtWrCAkJOSl1zp79izKZz50dJWeno65ubney5a08iU2loR4TIN/hoQ4NK3bo2nQBJ55GJtTXnbjOqbbN5PVvBWaZvkPuvhP/hxLUHnTVUuRnMuR1av/S8saOhZjX7ukxfKsWrVq6VZQ0sEHH3wgvfHGG9KiRYskLy8vaeHChdK4ceOkWrVqSRs3btTlEjrRaDTSnDlzJE9PT+nw4cOSJEnSzJkzpbFjx+Yqt3nzZqlTp046XfPy5cuFjqcgry1oPSWpfEmMJTk8TIoc8Z4UOXqolHLpgk7XfrBiiXTtg7eljPv39BJLQcuXxJ9jSSqvTnosXRv8ppSwZ4fRYykJ1y5psRT2tTqt4hsWFsa8efP4+OOP8fDwoFWrVixZsoSPPvqIo0ePFjrTPU2j0TB58mS2bt3K4sWLadcue2cvFxcXYmNjc5WNi4vDyclJL/UKJYwkkbArmAdLvkbh7EzFmXN13ibUceAg5GZKYtev0Q78EEoO7fOQYli5Vyg+OiURSZJwcXEBoHr16ly+fBmATp06cfHiRb0EMn/+fHbv3s2yZcvo0OH/a+p4e3sTERFBamqq9lhYWBg+Pj56qVcoOTRpqZj8so2E4G3YNGmG25TZKBx1v1kwtbXFof9A0iIu8+SP3wwYqVAYGVGRIJNhXrmKsUMR9EinJOLl5cWOHTuA7H6y33//HUBvczXOnj3L+vXrGTduHLVr1yY2Nlb7p1GjRpQvXx5/f3+uXbvG6tWrOXfuHP369dNL3ULJkPngPndmT0V2/SqObw3CedjoQm2bWqZlG8yr1yBu6yayniQZIFKhsNJvRKJwLY/covRtvCTkT6ck8umnn7J+/XrWrVtHjx49uHTpEp06dWLMmDF07ty5yEEcPHgQgEWLFtG8efNcfyRJYsWKFSQkJNC7d2927tzJd999R4UKFYpcr1AypISHcXf2FLKSn5A1YBC2HToXejazTC7HaciHaNJSidu6Sc+RCoUmSWRERYr1sl5BOq3iW69ePUJCQkhLS8POzo6goCB+/fVXbG1t6dSpU5GDmDhxIhMnTsz3vLu7O5s2iQ+EV42k0fBoVzAJOwJRVq5KubEfc/1h7Mtf+BLKChWx69SNR3t2YNPcr1Rv+PPKeJJEVtJjMT/kFZRvEskZypvDwsICCwsLNBoNTk5ODBw40ODBCa+urNRUHn6/nJTwMGyatcRp8NDs7is9JBEAu+69efLXn8T++D0V5ywoVNeYoD+yB/cAxEz1V1C+ScTT01PnLoUrJWCnMKH0yLx/jwdLF6F6GI3j20Mo2+4NvS/GJzczw3nwB9xfOI9He3fi0Es8QzMm2YN7YGKCsqK7sUMR9CzfJLJhw4bijEP4j0g+c5qY1cuRKxS4fT7VoMuUWNb2xrpJs+xurcavF9t+3kJesgf3UVZyF6sJvILyTSKNGjXKcywmJoaoqCh8fHxITk7G0dHRoMEJrw5JoyFhZxCPdgahrFKVcmM+RuFg+N8fx7cGkXrhLA/Xr8Ft4jSD1yfkJWk0yKLvo2wutm94Fen0YD0lJYVJkyZx6NAh5HI5Bw8eZO7cuTx69Ijly5fj4OBg6DgFI9GkpaGKe4jq4UNUsQ9Rx8YgT0jg0c3rKJxcUDg5o3B2fvGwzfR0HixZSOq5M9g098Np0AfF9ozCtExZHPq/Tey61Tz5/Tg4lSuWeksDSaUiPfIaqZcuIL9zm0dR11A4OWP67/tq8tSCqEWhin6ALDNTjMx6RemURL766isePXrEkSNH6Nq1KwD+/v5MnDiRL774gsWLFxs0SMHAkpJIvXIJdWx2olDFxqB6+BB17MM8cy3kFhbIJYn48NyrKMutbbITyr9JJeeDSGZqiumG70lNeozjO+9Rtm2HYt+MqEyLVjz54zhxP2+C90YapA5JkiA1laykAsxNSU3RvbwMeGawS0FJGg2Zd++QeukCaZcvkHY1AikzA+Ry5GZK4s/mXgNPbmWlvVEw/fd9zfmaAqwIkH7jOsB/fk/1V5VOSSQkJITVq1fj5vb/PmV3d3dmzpzJoEGDDBacYFjqxEfErl+LIvw093MOyuWYOjiicHLGqn4DFE4umDr/mxycXJBbWREREUGNShVRxcaijo3JTjwPs5NPxs0bJIedgqys/1dkaZX9/MNDxwXd9Ewml+M8+ENuT5+I6ZrveHCyLpaedbDwqoPC2aXQSU0VH0fa5YukXr5I2qULKJIeE1WA1yugQOVN5XJu/fs+PP2eKJxdUEkkIpEAABN3SURBVDg5Pbc1qIqPI+3SBVIvXyDt8iWykh5n1+1anjItWmHhVQeLmp78c+sWHpXdUcXG5rqJUMXGkHHnFsln/s71nppaWBBdxxsLzzpYetX5/9L8z5ERFYlkZoaZq3gm9SrSKYmkp6dr91t/WmZmplijqBSSJInk0N+J3fwjUmYmWc38qPh68+w7TnsHZKYv/7UwsbLGxMoanrOEhZSVhTohPrv761EC9xTmRksgOczcKlD+08nc3bebjBuRpJw+BYCpgyOWXnWw8KyDhacXpmXK5nuNrJQU0iIuk3b5AqmXLqKKzk69JmXKYuFZm8eW1rj8u32CLmJionFx0bF7TdIQc/06Sk0WqtiHpEddR5OSkquI3MZGm1hM0tK49eMqVDHZWyaYlLXN/j696mDpWRtT+7xd0HILS5SV3FFWyjuCStJoUD9KQB37kMyYaGL+/ou0f66SfOokAApnl38TSm0sanlhYm2jfW36jUgkF1dkcp3mNguljE5JpG3btixatIgFCxZoj928eZM5c+bQqlUrQ8UmGEB262MNKeFhmFevgfMHI4hMfIylrss+60BmYqLt2gK4V0KGgFvW8iILOe41a6KKidYmg+TTp0j6LXshUbOK7tkfhJ51MK9WHdntm8RfPk/qpQvZaz9JEjIzJRY1a1GmVVssvWpjVqESMpmMR1euYFuAn+ODgpavcIVyT5XPSkn+f2vw4b8twtiHpN+4juxJEgqPWpRt0wELrzqYuVUoUjeiTC5H4eCIwsERi5qe3Hd25bWaNVE9uK/tHnty8g+Sjv0KMhlK9ypYeGYnlIw7t5Dq5x2oI7wadEoi06ZNY9KkSTRu3BhJkujRowdpaWk0b96cyZMnGzpGQQ8kSeLJnyeI27weSZWJ48B3Kdu+U/bdYeJjY4dXrGQyGWblXDEr50rZNh2QNBoybt7498PwIom/HiTxwF4g+z/II7kc86rVsOvWC0uvOphXe02n1pqhvag1eOXKFcrr8cbgeWQyGWbl3TAr74Zt+45IajXpUZHZXXyXLpB4cC+J+3YBILnq3kITShed/idYW1uzbNky7ty5Q2RkJGq1mipVqlCt2n/7QZmkUqGKy+5Dll25QooqPbuP2tGpRI2HVz9K4OGPa0g9dwbz1zxw/mA4ZuXEf+ocMrkc86rVMa/6v/buPSjK6v8D+BtZbmGBN+wH4i1DYUFhCdAYKQvHC5KJjFLjlIKKKTpSuaJFeIXEoqbU8p4KfTW0UcIIUbzrmBImKCriBUG5KQILuAvL5/cHsV82WND97j4L+nnNMKPnefbsOR9lP/uc8zznDAL8J6FBLsfj3Kt4fDMPJTDCq75jYPwCLxrYHiORCBavDobFq4PRfeJkNDx+jNprOVAUFqDIvr+hm8f0pN0kIpPJYGxsDAsLC9jb28Pe3l51rKSkBGvWrFHbdfCZQoT6ikeNY/v/TBw3DRnUlxajvrxcdZeKCMD9lMZvXTAygqhbN9UdSib/mgw1bmPcXbfNb+Pqg2nUxcwMLzgPwwvOw1Cck8MJREtdzM1hOcwNlsPcUNRBhjSZ7mlMIkVFRYiIiMC5c+cAAD4+PoiNjYWVlRWUSiW2b9+ODRs2tDrh/iwo3rwBoj/P4nZdnVq5sXU3mNjYwMLRudmtj71xu+wB+vfsgbqSYrVbZWuyL0H5qFytDiNTM4hessJ9e/vG16uet+gNUc9eunmGoqoS97+NRc3fmf9cfcyB6cv/97/XyxhjzWhMIitWrEBhYSFiY2NhYmKC77//HjExMVi4cCHmzp2Lq1evIjAwEOHh4UK2VzBm/QeiQS5H78GOT/YBX5+jupT/twaFAvVlpc0mP4tRfjMPdaUlqLmc3XivfjPG3bo3e+bin+ctHjxEtbymRd2tqSsrhSjxP6glQs/3P4CV71i++mCM6YXGJJKRkYFvv/0WI0aMAAAMGTIEkydPxvXr16FUKrFnzx64uLgI1lChWY8ei/t9+j3V3TOadDE1VU1ANinLyUFfR0cQEZSVFepDZv8km5or2VD+s0OfCMD9p3hP6tMX9mHhfPXBGNMrjUmksrJSbeK8f//+qKurg52dHeLi4p7ZYSyhGRkZQWRlDZGVNTDIocXxpquYm1evov+A/k9Wp7EIN2XVnEAYY3qnMYkQEYyNjdXKjI2NMW/ePE4gAmq6iqGKyqdbe4gnMhljAnjqgXJLHS3KxhhjrPNr8xbf5ORktaTR0NCAlJQUdO/eXe28wMBA/bSOMcZYh6Yxidja2mLHjh1qZT169MDu3bvVyoyMjARJIgqFAitXrsQff/wBU1NTTJ8+HbNmzdL7+zLGGNNMYxJJT08Xsh3tio2NRWZmJrZv346ioiJIpVLY2trCz8/P0E1jjLHnVqd4eKCmpga//PILli5dCmdnZ/j6+mLmzJmIj483dNMYY+y51imSyNWrV6FQKODu7q4qc3d3R1ZWFurr6w3YMsYYe751iiRSWloKKysrmJmZqcp69uyJuro6PHz40IAtY4yx55sRdYJdpfbv34+vv/4aJ0+eVJXdvXsXvr6+OHLkCPr06aPxtRcvXlRLPowxxtoml8vh6ur6ROcaflOEJ2BmZgaFQqFW1vR3CwuLNl/7pIFgjDH29DrFcFbv3r1RWVmplkhKS0thamoKKythllVnjDHWUqdIIo6OjjAxMUFmZqaqLCMjA2KxGKIOsMMcY4w9rzpFErGwsMC7776L5cuX49KlSzhy5Ai2bduGDz74wNBNY4yx51qnmFgHgNraWixbtgyHDh2CpaUlgoODERwcbOhmMcbYc63TJBHGGGMdT6cYzuqIFAoFIiMj4eHhAW9vb2zevFl17OzZs5g8eTLc3NwwZswYJCYmtllXdXU1VqxYgZEjR8LT0xNhYWEoLi5u9T0nTJiAM2fO6Lw/hiJkHCsqKvDpp5/C09MTI0eOxFdffQWlUqm3vgmprTgePXoU/v7+GDp0KCZOnIjjx4+3W9+uXbvg4+MDNzc3LFmyBDU1/91Vs66uDjExMfDy8oKXlxeioqJa3D3ZWek6jk0+++wzfPPNN2plxcXFCAsLg7u7O7y9vbF27drO+fA0Ma2sXLmS/Pz8KCsri9LS0sjNzY2Sk5Pp1q1b5OLiQj/88APdvn2bDhw4QM7OznTkyBGNdS1dupT8/PwoIyODrl27RiEhIRQQEEBKpVJ1zuPHj2nevHnk4OBAp0+fFqKLghAyjuHh4TRt2jS6du0anT17lry9vWnz5s1CdVWvNMUxNzeXnJ2dadeuXZSfn09btmwhsVhM+fn5GutKTU0liURChw8fpkuXLpGfnx9FRkaqjq9atYpGjRpFFy5coIyMDBo1ahTFxcUJ0U2902Ucm2zatIkcHBxaxCgoKIhmzZpFN27coD///JN8fHxow4YN+uqa3nAS0UJ1dTW5uLiofZivX7+egoKCaP369TRlyhS18z///HNauHBhq3UpFAoaOnQonThxQlVWVFREDg4OdOPGDSIiys3NpXfeeYf8/f2fqSQidBwlEgmlpaWpjsfExFBISIguu2QQbcXxxIkT9OWXX6qd7+HhQUlJSRrre//999U+8M6fP0/Ozs4kk8mooqKCxGIxnTp1SnV83759HMdWVFVV0fz588nDw4PeeOMNtZhWVVVReHg4FRYWqsqio6NpxowZOuyRMHg4SwttreU1btw4REZGqp1vZGQEuVzeal1EhHXr1kEikaidD/z3gcoLFy7A29sbe/bs0XVXDEroOFpbWyMpKQm1tbUoLi7GyZMnIRaLdd0twbUVxxEjRmDx4sUAGoehEhMToVAoND6Eq1QqkZWVBQ8PD1WZq6srlEolcnJykJGRAXNzc7z++uuq4wEBAdiyZYueeiccXcYRAAoKCtDQ0IBff/0V9vb2ase6du2KuLg42NraAgByc3ORnp6O4cOH66Fn+sUPWWihrbW8LC0tMWDAAFV5WVkZDh48iLCwsFbrMjU1xciRI9XKdu7cCWtrawwaNAgAEBQUpIdeGJ7QcYyKioJUKoVEIkFDQwOGDx+O+fPn66FnwmpvbTkbGxvk5eXB398fSqUSn3zySYsPtSaVlZWQy+WwsbFRlYlEIlhbW6OoqAgPHjyAnZ0dkpOT8eOPP6KmpgZjx45FeHg4TE1N9d5XfdJlHAFgyJAhWLduXbvvGxQUhMzMTIjFYkybNk0nfRESX4looba2tsUvTNPfm08w1tTUICwsDDY2Nk+cCFJTU7F161ZIpdJnfi97oeOYn58PJycnxMfHY9OmTSgsLMSaNWt01BvDeZI49urVC3v37kVkZCS+++47pKamtlrX48eP1V7fvD6FQoHq6moUFBQgPj4ey5cvx7Jly5Camoq1a9fquluC02Ucn0ZUVBR++uknyOVyfPzxx/9zfULjKxEtPMlaXlVVVQgNDUVBQQF+/vlnVbmbm5vqNe7u7mrDAAcPHsTixYsxY8YMTJ48Wd/dMDgh45ifn4/o6Gikp6fj5ZdfVr1/cHAwQkND0bNnT/11VM+eJI4vvfQSnJyc4OTkhOvXryM+Ph5jxoxpEcfY2Fi11zevz9zcHCKRCDKZDGvXrkXfvn0BAFKpFFKpFEuWLEGXLp33e6ku4/g0w3uOjo4AgNWrV2Pq1KkoKChoc1HZjoaTiBaar+XV9E2l+VpeDx8+REhICMrKyrBz507VLxvQuCJxE3Nzc9WfExMT8cUXX2D69OmQSqXCdcaAhIxjdnY2LC0tVQkEAJydnaFUKnHv3r1OnUTaimNpaSnu3LmjNlc0aNAg/PXXXwBaxtHa2hpmZmYoKyuDg4MDAKC+vh6PHj2CjY0NFAoFRCKR2r/FgAEDIJfL8fDhQ44j1P8/avLo0SOcOXMG48ePV6sPAMrLyztVEum8XxsMqK21vBoaGjBnzhyUl5cjISEBAwcOVHttv379VD+9e/cGAKSlpSEyMhKzZ89WTd49D4SMo42NDSorK3H//n1VWV5eHgB0ql/Y1rQVx5SUFCxbtkzt/MuXL6vi+e84dunSBS4uLsjIyFCdf/HiRRgbG8PR0RGurq6or6/HtWvXVMfz8vJgaWkJa2tr/XZUz3QZx/ZUVFQgPDwcly9fVpVlZ2fD2NhYbS6wUzD07WGdVWRkJI0bN47+/vtvOnz4MEkkEjp48CBt3LiRnJyc6MyZM1RSUqL6KS8vb7We6upq8vLyotDQULXzS0pKSC6Xtzj/WbrFl0i4ONbV1dHEiRPpww8/pJycHMrMzCR/f39atGiRwD3WD01xzM/Pp2HDhlFcXBzdunWLduzYQWKxmLKzszXWlZycTK6urpSamkqXLl2iCRMmUFRUlOr4Rx99RJMmTaKsrCw6f/48jRo1imJiYgTopf7pMo7NTZs2rcVzIk3PMV25coXOnTtHo0ePptWrV+ujW3rFSURLNTU1JJVKydXVlby9vWnr1q1ERDRp0iRycHBo8RMUFNRqPenp6a2erylZPGtJRMg4FhUV0YIFC8jT05O8vb1p5cqVVFtbK1hf9UlTHIkan/MICAggFxcXGj9+fJsPbDbZuHEjjRgxgtzd3SkiIkItTlVVVRQREUESiYQ8PT0pOjqaFAqFXvolNF3HsUlrSaS8vJwWLVpEnp6e5OXlRdHR0a1+cezoeO0sxhhjWuM5EcYYY1rjJMIYY0xrnEQYY4xpjZMIY4wxrXESYYwxpjVOIowxxrTGy54wpkNvvfUWCgsLATQuRW9hYYHBgwdj3rx5LVYZZuxZwFcijOlYREQETp06hePHj2PPnj2QSCQIDQ19prY1ZqwJX4kwpmNdu3ZFr169ADQu6ieVSlFaWoqYmBj89ttvBm4dY7rFVyKMCWDq1Km4fv067ty5g7y8PMycORNubm5wcXHBe++9h9zcXABASEhIi4X+wsPDsWrVKgO0mrH2cRJhTACvvPIKgMZtUOfOnQtbW1scOHAAu3fvRkNDg2ofD39/f6SlpUGpVAJo3Cjp2LFj8PPzM1jbGWsLJxHGBPDiiy8CaNylMTAwEIsXL0bfvn0hFosxadIk3LhxAwDg6+sLmUyG8+fPAwCOHTuGbt26tbmXN2OGxHMijAlAJpMBaJwvefvtt3HgwAFkZ2fj5s2buHLlimovjq5du+LNN99ESkoKhg8fjpSUFPj5+cHIyMiQzWdMI74SYUwATZs42dnZITAwEElJSRg4cCAWLFjQYifLpiEtmUyG48eP81AW69D4SoQxAezbtw9isRj37t1DUVERkpKSYGJiAgA4deoUmu/I4OPjg7q6OmzevBl2dnYYMmSIoZrNWLs4iTCmYzKZDKWlpSAilJeXY+/evfj999+xbds2mJiYoLa2FmlpaRg6dCjOnj2LhIQEtX25TU1NMXr0aGzfvh1z5swxYE8Yax9vSsWYDjV/Yh0AevToAScnJ8yZMwevvfYaAGDdunVISEiAXC6Hg4MDpkyZgiVLluDo0aOwtbUFAJw+fRrBwcE4dOgQ+vXrZ5C+MPYkOIkw1gHt378fCQkJSExMNHRTGGsTD2cx1oHcvXsXWVlZWL9+PWbPnm3o5jDWLr47i7EOpKCgAEuXLoWjoyMCAgIM3RzG2sXDWYwxxrTGVyKMMca0xkmEMcaY1jiJMMYY0xonEcYYY1rjJMIYY0xrnEQYY4xp7f8BnU6zpNU2lsMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set_style(\"whitegrid\")\n",
    "\n",
    "ax = plt.gca()\n",
    "figure_us_recession_plot=figure_us_recession.plot(x='runner', y='intensity',  kind=\"line\", ax=ax, color=colorsmain[0] ,label='Recession')\n",
    "\n",
    "figure_us_recession_plot.set_xticks(list(np.arange(27)))\n",
    "figure_us_recession_plot.set_xticklabels(['','','02-21','','','','','','','02-28','','','','','','','03-06','','','','','','','03-13','','',''],rotation='horizontal', fontsize=14)\n",
    "figure_us_recession_plot.set_yticks([0,20,40,60,80,100])\n",
    "figure_us_recession_plot.set_yticklabels([0,20,40,60,80,100], fontsize=14)\n",
    "figure_us_recession_plot.set_ylabel('Relative Search Intensity', fontsize=14)\n",
    "figure_us_recession_plot.set_xlabel('Day', fontsize=14)\n",
    "\n",
    "figure_us_recession_plot.legend(fontsize=12, loc='upper left')\n",
    "\n",
    "figure_us_recession_plot.text(0, 108, \"A\", fontsize=16, fontweight='bold')\n",
    "figure_us_recession_plot.set_title('US Search Intensity: Recession',fontsize=13, fontweight='bold')\n",
    "\n",
    "fig = figure_us_recession_plot.get_figure()\n",
    "\n",
    "fig.set_size_inches(6, 3)\n",
    "\n",
    "fig.savefig(\"output/figures/fig_us_recession_a5.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "ax = plt.gca()\n",
    "figure_world_recession_plot=figure_world_recession.plot(x='runner', y='intensity',  kind=\"line\", ax=ax, color=colorsmain[0] ,label='Recession')\n",
    "\n",
    "figure_world_recession_plot.set_xticks(list(np.arange(27)))\n",
    "figure_world_recession_plot.set_xticklabels(['','','02-21','','','','','','','02-28','','','','','','','03-06','','','','','','','03-13','','',''],rotation='horizontal', fontsize=14)\n",
    "figure_world_recession_plot.set_yticks([0,20,40,60,80,100])\n",
    "figure_world_recession_plot.set_yticklabels([0,20,40,60,80,100], fontsize=14)\n",
    "figure_world_recession_plot.set_ylabel('Relative Search Intensity', fontsize=14)\n",
    "figure_world_recession_plot.set_xlabel('Day', fontsize=14)\n",
    "\n",
    "figure_world_recession_plot.legend(fontsize=12, loc='upper left')\n",
    "\n",
    "figure_world_recession_plot.text(0, 108, \"B\", fontsize=16, fontweight='bold')\n",
    "figure_world_recession_plot.set_title('Global Search Intensity: Recession',fontsize=13, fontweight='bold')\n",
    "\n",
    "fig = figure_world_recession_plot.get_figure()\n",
    "\n",
    "fig.set_size_inches(6, 3)\n",
    "\n",
    "fig.savefig(\"output/figures/fig_world_recession_a5.png\",dpi=400,bbox_inches='tight')\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "ax = plt.gca()\n",
    "figure_us_stock_plot=figure_us_stock.plot(x='runner', y='stock',  kind=\"line\", ax=ax, color=colorsmain[1] ,label='Stock Market Crash')\n",
    "\n",
    "figure_us_stock_plot.set_xticks(list(np.arange(27)))\n",
    "figure_us_stock_plot.set_xticklabels(['','','02-21','','','','','','','02-28','','','','','','','03-06','','','','','','','03-13','','',''],rotation='horizontal', fontsize=14)\n",
    "figure_us_stock_plot.set_yticks([0,20,40,60,80,100])\n",
    "figure_us_stock_plot.set_yticklabels([0,20,40,60,80,100], fontsize=14)\n",
    "figure_us_stock_plot.set_ylabel('Relative Search Intensity', fontsize=14)\n",
    "figure_us_stock_plot.set_xlabel('Day', fontsize=14)\n",
    "\n",
    "figure_us_stock_plot.legend(fontsize=12, loc='upper left')\n",
    "\n",
    "figure_us_stock_plot.text(0, 108, \"C\", fontsize=16, fontweight='bold')\n",
    "figure_us_stock_plot.set_title('US Search Intensity: Stock Market Crash',fontsize=13, fontweight='bold')\n",
    "\n",
    "fig = figure_us_stock_plot.get_figure()\n",
    "\n",
    "fig.set_size_inches(6, 3)\n",
    "\n",
    "fig.savefig(\"output/figures/fig_us_stock_a5.png\",dpi=400,bbox_inches='tight')\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "ax = plt.gca()\n",
    "figure_world_stock_plot=figure_world_stock.plot(x='runner', y='stock',  kind=\"line\", ax=ax, color=colorsmain[1] ,label='Stock Market Crash')\n",
    "\n",
    "figure_world_stock_plot.set_xticks(list(np.arange(27)))\n",
    "figure_world_stock_plot.set_xticklabels(['','','02-21','','','','','','','02-28','','','','','','','03-06','','','','','','','03-13','','',''],rotation='horizontal', fontsize=14)\n",
    "figure_world_stock_plot.set_yticks([0,20,40,60,80,100])\n",
    "figure_world_stock_plot.set_yticklabels([0,20,40,60,80,100], fontsize=14)\n",
    "figure_world_stock_plot.set_ylabel('Relative Search Intensity', fontsize=14)\n",
    "figure_world_stock_plot.set_xlabel('Day', fontsize=14)\n",
    "\n",
    "figure_world_stock_plot.legend(fontsize=12, loc='upper left')\n",
    "\n",
    "figure_world_stock_plot.text(0, 108, \"D\", fontsize=16, fontweight='bold')\n",
    "figure_world_stock_plot.set_title('Global Search Intensity: Stock Market Crash',fontsize=13, fontweight='bold')\n",
    "\n",
    "fig = figure_world_stock_plot.get_figure()\n",
    "\n",
    "fig.set_size_inches(6, 3)\n",
    "\n",
    "fig.savefig(\"output/figures/fig_world_stock_a5.png\",dpi=400,bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "ax = plt.gca()\n",
    "figure_us_conspiracy_plot=figure_us_conspiracy.plot(x='runner', y='conspiracy',  kind=\"line\", ax=ax, color=colorsmain[2] ,label='Conspiracy Theory')\n",
    "\n",
    "figure_us_conspiracy_plot.set_xticks(list(np.arange(27)))\n",
    "figure_us_conspiracy_plot.set_xticklabels(['','','02-21','','','','','','','02-28','','','','','','','03-06','','','','','','','03-13','','',''],rotation='horizontal', fontsize=14)\n",
    "figure_us_conspiracy_plot.set_yticks([0,20,40,60,80,100])\n",
    "figure_us_conspiracy_plot.set_yticklabels([0,20,40,60,80,100], fontsize=14)\n",
    "figure_us_conspiracy_plot.set_ylabel('Relative Search Intensity', fontsize=14)\n",
    "figure_us_conspiracy_plot.set_xlabel('Day', fontsize=14)\n",
    "\n",
    "figure_us_conspiracy_plot.legend(fontsize=12, loc='upper left')\n",
    "\n",
    "figure_us_conspiracy_plot.text(0, 108, \"E\", fontsize=16, fontweight='bold')\n",
    "figure_us_conspiracy_plot.set_title('US Search Intensity: Conspiracy Theory',fontsize=13, fontweight='bold')\n",
    "\n",
    "fig = figure_us_conspiracy_plot.get_figure()\n",
    "\n",
    "fig.set_size_inches(6, 3)\n",
    "\n",
    "fig.savefig(\"output/figures/fig_us_conspricy_a5.png\",dpi=400,bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "ax = plt.gca()\n",
    "figure_world_conspiracy_plot=figure_world_conspiracy.plot(x='runner', y='conspiracy',  kind=\"line\", ax=ax, color=colorsmain[2] ,label='Conspiracy Theory')\n",
    "\n",
    "figure_world_conspiracy_plot.set_xticks(list(np.arange(27)))\n",
    "figure_world_conspiracy_plot.set_xticklabels(['','','02-21','','','','','','','02-28','','','','','','','03-06','','','','','','','03-13','','',''],rotation='horizontal', fontsize=14)\n",
    "figure_world_conspiracy_plot.set_yticks([0,20,40,60,80,100])\n",
    "figure_world_conspiracy_plot.set_yticklabels([0,20,40,60,80,100], fontsize=14)\n",
    "figure_world_conspiracy_plot.set_ylabel('Relative Search Intensity', fontsize=14)\n",
    "figure_world_conspiracy_plot.set_xlabel('Day', fontsize=14)\n",
    "\n",
    "figure_world_conspiracy_plot.legend(fontsize=12, loc='upper left')\n",
    "\n",
    "figure_world_conspiracy_plot.text(0, 108, \"F\", fontsize=16, fontweight='bold')\n",
    "figure_world_conspiracy_plot.set_title('Global Search Intensity: Conspiracy Theory',fontsize=13, fontweight='bold')\n",
    "\n",
    "fig = figure_world_conspiracy_plot.get_figure()\n",
    "\n",
    "fig.set_size_inches(6, 3)\n",
    "\n",
    "fig.savefig(\"output/figures/fig_world_conspricy_a5.png\",dpi=400,bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "ax = plt.gca()\n",
    "figure_world_survival_plot=figure_world_survival.plot(x='runner', y='survival',  kind=\"line\", ax=ax, color=colorsmain[3] ,label='Survivalism')\n",
    "\n",
    "figure_world_survival_plot.set_xticks(list(np.arange(27)))\n",
    "figure_world_survival_plot.set_xticklabels(['','','02-21','','','','','','','02-28','','','','','','','03-06','','','','','','','03-13','','',''],rotation='horizontal', fontsize=14)\n",
    "figure_world_survival_plot.set_yticks([0,20,40,60,80,100])\n",
    "figure_world_survival_plot.set_yticklabels([0,20,40,60,80,100], fontsize=14)\n",
    "figure_world_survival_plot.set_ylabel('Relative Search Intensity', fontsize=14)\n",
    "figure_world_survival_plot.set_xlabel('Day', fontsize=14)\n",
    "\n",
    "figure_world_survival_plot.legend(fontsize=12, loc='upper left')\n",
    "\n",
    "figure_world_survival_plot.text(0, 108, \"H\", fontsize=16, fontweight='bold')\n",
    "figure_world_survival_plot.set_title('Global Search Intensity: Survivalism',fontsize=14, fontweight='bold')\n",
    "\n",
    "fig = figure_world_survival_plot.get_figure()\n",
    "\n",
    "fig.set_size_inches(6, 3)\n",
    "\n",
    "fig.savefig(\"output/figures/fig_world_survival_a5.png\",dpi=400,bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "ax = plt.gca()\n",
    "figure_us_survival_plot=figure_us_survival.plot(x='runner', y='survival',  kind=\"line\", ax=ax, color=colorsmain[3] ,label='Survivalism')\n",
    "\n",
    "figure_us_survival_plot.set_xticks(list(np.arange(27)))\n",
    "figure_us_survival_plot.set_xticklabels(['','','02-21','','','','','','','02-28','','','','','','','03-06','','','','','','','03-13','','',''],rotation='horizontal', fontsize=14)\n",
    "figure_us_survival_plot.set_yticks([0,20,40,60,80,100])\n",
    "figure_us_survival_plot.set_yticklabels([0,20,40,60,80,100], fontsize=14)\n",
    "#figure_10_plot.legend().set_visible(False)\n",
    "#figure_10_plot.set_xlabel('')\n",
    "figure_us_survival_plot.set_ylabel('Relative Search Intensity', fontsize=14)\n",
    "figure_us_survival_plot.set_xlabel('Day', fontsize=14)\n",
    "\n",
    "figure_us_survival_plot.legend(fontsize=12, loc='upper left')\n",
    "\n",
    "figure_us_survival_plot.text(0, 108, \"G\", fontsize=16, fontweight='bold')\n",
    "figure_us_survival_plot.set_title('US Search Intensity: Survivalism',fontsize=13, fontweight='bold')\n",
    "\n",
    "fig = figure_us_survival_plot.get_figure()\n",
    "\n",
    "fig.set_size_inches(6, 3)\n",
    "\n",
    "fig.savefig(\"output/figures/fig_us_survival_a5.png\",dpi=400,bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Figure A.6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 381.6x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5.3,4))\n",
    "\n",
    "test_s1= np.array([1-0.1,2-0.1,3-0.1,4-0.1])\n",
    "test2_s1 =np.array([0.03,0.35,0.34,0.28])\n",
    "test_s2= np.array([1+0.1,2+0.1,3+0.1,4+0.1])\n",
    "test2_s2 =np.array([0.11,0.21,0.09,0.59])\n",
    "\n",
    "plt.ylim(0, 0.63)\n",
    "plt.ylabel('Fraction of Participants',fontsize=14)\n",
    "plt.title('Survey: \"Do you think the national economy is\\ngetting better, staying the same, or getting worse?\"',fontsize=16, fontweight='bold')\n",
    "\n",
    "plt.bar(test_s1, test2_s1, width=0.3, zorder=1, color=colorsmain[1],alpha=1, label='Early March')\n",
    "plt.bar(test_s2, test2_s2, width=0.3, zorder=1, color=colorsmain[0],alpha=1, label='Mid March')\n",
    "plt.legend(['Early March','Mid March'],fontsize=14,loc='upper left')\n",
    "plt.xticks([1,2,3,4], ['Undecided','Getting\\nbetter','Staying\\nthe same'\\\n",
    ", 'Getting\\nworse' ])\n",
    "\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "\n",
    "plt.savefig(\"output/figures/fig_a6.png\",dpi=400,bbox_inches='tight')\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Figure A.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "figure_a7 = pd.read_csv('output/figures/raw/scatter_plots.csv', delimiter = ',')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uXbqwevVqO5t+UYSGhrJkyRLZFdvV1ZW+ffuycuVKNBqNw/XUqlWLBQsWUKdOHVQqFf7+/nz44Ye4u7uTkpIiO2FA9pzLN998I3vBNWzYkC+++IJmzZoB2UJr5cqVjBs3jlq1apGVlUWNGjWYMGECCxculLWNhg0b8uGHH1KjRg1MJhO1a9dm9erVeeZfu3TpQvfu3XF2dsbJyclOgygMSTvS6/WyaTM3vr6+bNmyhQEDBlClShVMJhONGzfmn//8Jy+99FKRbQQFBTFo0CBcXV1Rq9Xo9Xr69u0rO0soFApatGjBrFmzADh27JjDC2K1Wi1vvfUWVatWxWazyZEeAPz8/GTzaffu3eVAzwXx4YcfEhISgrOzMzqdjkGDBsnOCVL2AkcZNmwY06ZNw8fHB4VCQc+ePfnggw+KVYfAcRS2spiJFAgEgnIkMjKSF198EYBvvvmG9u3b3+ceCcoLYb4TCASVlr179zJ9+nTZuaRRo0a0a9fuPvdKUJ4I851AIKi0+Pr6kpGRgU6no2PHjixZsqRE3omCBwdhvhMIBAJBpUFoSgKBQCCoNAihJHggEZlJHUecq4eDiriOleFeEULpHn369CEgIIBPPvnEbnvO7Ko5s2H++OOPBAQE0LJly3KN45dfuoOK4L333pPHnTvSNNy/zJtZWVksWrSo0JQFuXn66acJCAggODi42NlwH2TKKourdA8W9nlYKcv7/Pr167z11luEhITQtGlT2rVrx6hRo+RYhRLSMydnypWoqCgGDhxY6j4URH73Sn79qAiE9909goKC+PPPP+2iGl+/ft0uHMvRo0flIJBSuebNmzu8jqQkuLi44OPjU6y1PKXFaDTy008/yb83b95My5YtK6z9wpg4cSK//PILEyZMcKj8qVOnuHz5MpAdO2/nzp1FRgN4GJCyuJZl0jwplcajhF6vx8fHx6EYgIURExPD4MGDuXv3LgqFAg8PD5KTk9m/fz//+9//WLFiBY8//jiQHYXCbDbLKVdOnz7N4MGDy02LKeheyd2PikIIpXsEBQWxYcMGzpw5g81mQ6FQ5Albk59QKk4UgZKQM5VBRbFr1y6Sk5PR6XRkZWXx448/Mm3atAq/OfOjuFGnpbc8aSybN29+JIRSeWRxDQoKkkMsPSo8/fTT+aY+KS6bNm3i7t27PPbYY6xcuRIfHx8SEhJ45ZVXOHnyJMuWLZOF0oYNG+yOlUI6lRcF3Su5+1FRCPPdPSThkpKSIr9ZS0JJWil/7NgxIDsqshSaP2fOmpMnTzJq1CiCg4MJCgpi5MiRdpqXlGW0WbNmbN68mZCQEDp16sSVK1fyzfT5n//8J1/zXVpaGrNmzaJ9+/Y0b96cIUOG5FmlvmXLFvr27UtQUBBt27Zl2LBhHDlyxKFzIcWAGzlyJN7e3qSmpsppA/Jj586ddO/enebNm/Piiy/KccckHMl0mjMLac4x5DSdDBs2TDZ1LF68uEizUU6NT8pGe+jQITlQak4OHDhA3759adasGQMGDCAqKoqOHTvKGWElvv76azp37kzLli0ZN26cnB1W6mNh11g6vmvXrgQGBtKjRw85IaKExWLhk08+oWPHjgQFBREeHs727dvz3AOFZXotKIsrZMfR+/TTTwkNDaVZs2b07du3WPmsHCEiIoIePXoQGBjIE088wZw5c/KEG9q6dSsDBgygRYsWPP7444SHh9tFeY+MjCQgIIAePXoQFRXF4MGDadasGT169MiT9TclJYUPPviAzp07ExgYyNNPP80333xjF6Fcur++//57ZsyYQevWrenYsSMREREkJSUxefJkWrZsSWhoKGvXrpWPK8h858gYcyKNTafTyYFkPT09mTp1Ki+99JIskMDebJZz0TBg9x/JLyuzlE1Xut5Q8nslP/OdI+fa0Yy+BSE0pXvUrl0bb29v7t69y+nTp6lfv758sSdMmMDIkSO5dOkSCQkJcroEpVIpm7UOHTrEqFGjMJlMcribAwcOcPjwYVauXGkXi8xkMvHee++h1+txdXWldu3a8r6cmT5btmzJ1atX7fpps9kYN24chw4dQq1WYzAYOHHiBKNGjeLrr78mODiYXbt2yWmrPTw8yMrK4vDhw4wePZpt27ZRs2bNAs9DbGysnOCsf//+pKamsnr1ajZv3iwHxcxd/vXXX8fJyYmsrCwiIyMZMWIEO3fuxNnZudiZTgvD09MTjUaDyWTCYDDYhaHJj927d5OUlESNGjUYOnQoGzdu5Ny5c3z33Xe8+uqrcrlTp07x8ssvy5lNL126xMiRI/PMFa5atYp58+YB2WadX3/91S4cUU7yu8aLFy9m0aJFcqbbK1euMHv2bFJTU3nllVeA7OsvaSPOzs5899138vWQKCrTa9u2bfPN4gowffp0tmzZglKpxM3NjXPnzvHGG29gsVjKRIP87LPP5OSHLi4uxMTEEBERwZUrV+R5wKVLl/L555/LY0xISJAfwN9++62diTAhIYERI0Zgs9kwGo389ddfTJo0iV9//RUvLy8yMzMZOnQof/75J5Cd9ffy5ct8+OGH/PXXX8ycOdOuf/PnzyclJQWlUklqaipz5sxhzZo13Lx5E5VKRXR0NO+//z6BgYG0aNGixGPMTXBwMOvXr+f333+nc+fOhIWFERISQseOHeUXpvzQarV4enqSkJAAgI+PT5H3fU5Kc6/kV1dxznVRGX0LQmhKOZAEzOnTp7ly5QrR0dG4urrSrl07GjdujM1m49ixY7L206BBA1xdXQGYPXs2JpOJzp07y9k3O3fujNFozHOxbDYb//d//8fRo0fZvHmz3WLAnJk+pUy9Odm/fz+HDh2iVq1a7N+/n8OHDzNz5kzMZrOcslmKVD1s2DAiIyOJjIzkqaee4sknn5RvvoLYunUrFouFoKAgatWqJQuiI0eOcO3atTzljUYjEyZM4Pjx42zbtg1nZ2diY2PZuHEjUPxMp4WxcOFCOf7ciBEj2LdvX6HlJY2vd+/eKBQKeSzfffed3Zvdl19+idlsplGjRhw4cIAjR47QsWNHuzQHFouFL774AsgW1kePHmXv3r0FpszIfY1TUlJYvnw5SqWSTZs2ERkZydatW9FoNCxfvpyMjAzi4+NZt24dAOPGjeP48eP89NNPeYRjUZleC8rieunSJbZs2YKbmxs7d+4kMjKSr776CkAWEoUhaYW5P1IcuMTERFasWAFkZyM+duwYmzdvRq1Wc+zYMf766y+io6NZsmQJAK+99hrHjx9n165d+Pv7c/PmzTwPrMTERAYPHszRo0dlDSYrK0u2WkRERMj5o77//nuOHz/O/PnzAVi3bl2ezLcajYY9e/Zw4MAB+eGblpbGrl272Ldvn5yqQopynxtHxpgfvXr1om/fvnIdW7ZsYdKkSYSEhDBt2rR8U5hAtsk057XZt29fscz5Jb1X8qO457qwjL6FIYRSDiQTXlRUlKwlBQcHo1Qq5dAmOYWSZLq7du2anDtmypQp6PV69Ho9U6ZMAbLTJOR+oEtzU7knjovK9CmZr2JiYujXr58coFTqm8lkkgOFbtiwgbFjx7JhwwZee+01Pv300yLnwKScWNJbc9OmTWnYsCE2my3fNPZarVaOlt2wYUM5Iva5c+eA4mc6LSvi4uLkP4B0rvv06YNarebmzZt25k7pATR8+HA8PT3RarW8/vrrdvVdvnxZTjcxYcIE1Go1VatWLfQBkfManzx5Uvb8Gz9+PKGhoYwePRqr1UpaWhpnzpwhKioKs9mMRqNh7NixKBQK6taty6BBg+zqLWmmV+neycjI4Pnnnyc0NJR3330XyH54FeWlp9Fo8PHxyfORzFGnTp3CaDSi0+lkk1OTJk3YuXMnx44do27duuzbtw+z2UzVqlXlMfr7+8t5rPLL0jtixAiUSiVt2rSRHX6kcUrlBw0aJAf/7devn5ziZM+ePXZ1denSRc6QXK9ePSDbTOXr64u7uzt16tQp9Dw6Msb8UCgUfPTRR6xZs4Znn31WTqpoMpnYvHkzb7zxRqHnvqSUZVbg4p7rwjL6FoYw3+VAegs/d+6cnAJAEkbt2rVjxYoVHDlyRE7SJj3gc2brzJnRM+f3uLg4u2yVBXnzFOXlI4Xgz8zMJDMz026flDaib9++3Llzh2+++YY9e/bIN0vz5s357LPP5PQDuTlz5oysmr///vu8//77dvu///57Jk6ciFL597uMu7u7nfehNEZJIyss02lsbGy5ZWX9z3/+I2sYvXr1yrN/8+bNcupyaS4g5/WpXr26Xfmcb7I5y0n5ovIj57WUrpvVas3Xrh4TEyNPZnt4eKDVagtsw2KxMHfuXDZt2kRmZiZ16tRxKNOr1AcpD1V+fZAelvlRlKODJLTd3Nzs7pGc95uUpdfPz8+uTGFZenN6nur1ehISEuRzld/9Jf2OiorKU19O05RkZs/5Aiid94LOoyNjzA+bzUZCQgLNmjWTTfmXLl3iyy+/ZOvWrezfv58bN27kGUdxya1Vl/ReyY/inuvCMvoWhtCUctCsWTN5Pmf37t0AcjTiNm3aoFarOXv2rKwVSUIpZ7bOnJPiOb/nFjYFhd7PnekzN1Iel7CwMM6fP8/58+c5ffo0Z86c4fz583I7L730Ert372bTpk28/fbb1KtXj6ioKD7++OMC65bMXQVx584dWVhLJCYm2pm5pMCZ0tuzdG6KynTqaFZWRylqLD///DPJycnA3+c0pykxt9aQ8xrnfKDfvn27wDZyXmPpeBcXF/m6nT9/nhMnTnD+/Hl69eoll0lMTLQ7D7nbkDK9+vv7s3fvXnbs2GE3WQ35Z3GVxhkQECC3/8cffxAVFcX58+dL7fYvmb5y9/+nn37iwIEDJCcny324deuWnUdZ7iy9OSksM2x+91dh9eVOE1LQtoJwZIz50b17dx5//HHZPAtQv359O1NZQS9oBcX6y+8/k9vZoqT3Sn4U91wXdt0KQwilHGi1WgIDA4HsNwwPDw/Zw8tgMBAYGIjZbMZiseDj4yO/HdWsWVN2Vvj444/JyMggMzNTFgANGzbM41xQ1I1WEJLJ8ODBg5w+fRrInrcJCgqS1+689tprBAUFMWfOHJo0acKIESMIDQ0FkCdMc2Mymfjhhx8AmDVrFsePH7f7SBpjbhOeyWRi4cKFWCwWLl26JHvp5c7KWlSmU+kNVlqom5mZabdWSkK60XNnJs3J77//Lmt8P/zwg904Dh06hLOzM1lZWbIHoHROIyIiSExMJCsri08//dSuzho1asgJ8JYuXYrFYiE6OpqVK1fm2wewv5ZNmjRBr9eTmpoqz43s37+fVq1a8dRTT5GcnEyTJk1wcnLCZDKxbNkybDYbly5dYtOmTXb1OpLpNb8srlKK9D///FPWnjdt2kRQUBDPPvtsqTRTgBYtWqDVajGZTPJ5OX/+PFOmTGHkyJFcvHiRjh07olAoiI2NZfny5dhsNm7duiWXz/3ALArp/tq0aZNsMv7Pf/4jm9jLenG3I2PMD+nldvny5fL/NmcdOp2uQNNfTqGZ876X/jMnTpwAsk2wuT1sS3qv5EdFnWshlHIhmfAA2rZta/dgyRkyP6crOMA777yDSqViz549tG3bluDgYPbs2YNOp8vj6FAaOnXqRFBQEFlZWQwcOJDg4GCWL1+OyWSSJzD79OmD2Wzm22+/JTg4mDZt2vD1118DyJOtufn1119JTExEpVLx1FNPYTAY7D6SCWz37t12gq1atWqsXr2a1q1b06tXL9LS0vDz86N///5A9vyLt7e3nOm0VatW8gM/Z6ZT6U97+PBhnnjiCZ588kk7F2EJ6UVg9erVBAcH5/tmKmlJjRs3pkGDBnbj8PT0lP88koAdNWoUGo2Gc+fOERISQnBwsN0qe4VCgUqlkufOtmzZQps2bejcubNdRtPCcHd3l12633//fdq0acPo0aOx2Wy0b98eNzc33N3d5Uy9S5cupVWrVvTs2TOPyUPSaKRMr507d+bSpUvA32/KUhZXgOeee45JkyZRv359ub6xY8fStm1bZsyYgcVioWvXrkVqDCdOnCA0NDTfz8WLF/Hw8GDUqFEAfPrpp7Ru3Zp+/fphNBrp0KEDrVq1onr16vJ5lOY4w8KrtWUGAAAgAElEQVTCuH79Ov7+/owfP96h8ykxbNgw6tatK5utW7VqxVtvvQXACy+8IM+vlhWOjDE/Jk6cSNWqVYmPj5f/t1IiTICXX35Zti7kJqe5LDQ0lAULFgB//2eWLFlCjx496N27dx7PvJLeK/lRUedaCKVc5Lypcudtyfk79833xBNPsGbNGjp16oROp0OtVhMSEsLatWvzCLDS8uWXXzJkyBCqVq1KVlaWHB5JEkrdunVj2bJltGrVSn4LCgwM5OOPP5aFRW6kB3lwcHC+0SO6deuGWq3GZDLZrTFq2LAhixcvxs/PD61WS8eOHfnmm2/kP4ejmU4HDx7MiBEjcHd3Jz09nW7duuWb3XPEiBEEBgbKjgZSCnMJk8nEf//7X7nP+SEthvz99985d+4cTZo0YcmSJTRo0ACFQkGTJk1krzRAXjT8wgsv8Oabb1KtWjVsNhs9e/aUHQUcWVj8xhtv8Oabb1KnTh0yMzPx8/Nj/PjxTJ8+XS4zadIkRo4ciYeHB0qlkhdeeEF2F5facCTTa0FZXOfOncuYMWPw8/MjPT2dOnXq8O6778qCojCkuaj8PtLiy4kTJ/LOO+9Qp04dsrKy8PX15cUXX7Tzqps0aRLz5s0jMDAQq9WKh4cHAwYMYP369cWOGOHi4sKGDRsYNmwY1atXx2g0UrduXd5991352pQ1jowxN1WqVGHz5s0899xz1K1bl6ysLHQ6HUFBQcyfP79QYezj48PYsWPl/6V0LadPn05YWBh6vZ6srCxee+01+aVGojT3Sm4q6lyL1BWCR561a9dy8+ZNqlWrxgsvvIBarWbv3r2MGTMGZ2dnjh07hlKp5IMPPsDZ2ZmAgABZ4/jnP//JV199xRNPPCG/9ZaUjIwM5s2bh6enJ61bt6ZTp05YLBamTJnCDz/8wNChQ5kxY0YZjVogqJwI7zvBI4/RaJTXnnz++efodDrZRNmnTx/Zy+r69euyW+ysWbMwmUyyi6vk/l0a9Ho9x48fl+fDvL29SU9PJyMjA4VCQe/evUvdhkBQ2VHNLMsJD4HgAaRly5by5HtSUhJGo5Hq1aszaNAg3nrrLdkE2rFjR+Lj44mPj5fnkurXr8/EiRMZMGBAmfQlNDSU6OhoEhMT5Tm+Jk2aMH36dHmiWSB4mBHmO4FAIBBUGoSjg0AgEAgqDWJOyQFOnjxZ4GJXCcmb5lFDjPvRQoz70aI0487KyirRgmwhlBxAp9PJsZ4K4uzZs0WWeRgR4360EON+tCjNuM+ePVui44T5TiAQCASVBiGUBAKBQFBpEEJJIBAIBJUGIZQEAoFAUGkQjg4CgUAgwGS0kp5utdvm5lqdpET7qOHOzko02vLTZ4RQEggEAgEqtYJLFzJZFxGXa0+i/O25YVVo2dpQrv0QQkkgEAgEKJUK6jdwIivLRnJS3txabu4q6jdwQql0PGFfifpRrrULBAKB4IHB1U3FwMH5pw8ZONgLVzfHs/SWFCGUBAKBQABka0stWhlwdbMXDW7uKlq0MpS7lgRCKAkEAoHgHpmZVjIzrTzZ1T4LbkVpSSCEkkAgEDzSWK02UpIt3Lxh5M4tI5mZNlq1cZG1pYrUkkAIJYFAIHgkMRqt3I0zcf2akbtx2ensvatoqFlLS606OgYN8QYqVksC4X0nEAgEjww2m430NCspyRYyM62gAINBhZubCp2TvY7SopUB/1pJFaolgRBKAoFA8NBjNmeb6FJTLFgsNlRqBR5ealxdVahU+QscVzcV4TP80OsrTksCIZQEAoHgoSUjPVsrSs+wgA30zkpc3dTo9UoUisK1H6VSQVJSHAaDbwX1NpsKF0o2m43cGdiVSjG1JRAIBGWB5LiQkmLBbLKhVClwd1fj4qpCoymeGS4pKQE/v4dQKJ05c4bZs2dz5swZrFZrnv0lTQYlEAgEgmyysqwkJ1lIT7Nis9nQOSnx8FRjMBStFVUmKkQozZo1C51Ox6JFi3BxcamIJgUCgeChx2rNdlxITrZgzLKiUCgwuChxdVOh0z2YFqgKEUoXLlxg48aNNGzYsCKaEwgEgocak+lvE53NakOjUeDlnW2iq0hPufKgQkRpo0aNuHHjRrnUbTQamT59OsHBwXTs2JGvvvqqwLKXLl3ixRdfpEWLFjz11FPs2LGjXPokEAgEZY3NZiMtzcKd20ZuXs8iOdmMXq/Ep7qWGjV1uLmrH3iBBBWkKfXp04d3332Xfv36UbNmTTQajd3+gQMHlrjujz76iBMnTrBq1Sru3LnDlClT8PPzo1evXnbl0tLSGDFiBO3bt+f9999n3759TJ48mfr16/PYY4+VuH2BQCAoT8xmG6kp2VqRxWxDpVLg4ZmtFanVD74Qyk2FCKUVK1bg5OTE9u3b8+xTKBQlFkrp6els3LiRL774gsDAQAIDAxk1ahRr1qzJI5S+//571Go1H3zwARqNhjp16nDw4EFOnDghhJJAIKh0ZGTcc+dOz3bndtIr8fJW4+z8YDkuFJcKEUp79uwpl3rPnTuH0WikdevW8rbWrVuzdOlSzGYzavXfw4uMjCQsLMxOS/vyyy/LpV8CgUBQEqxWG6mpVlKSzJhMNhRKBW5ualxclWjLMdtrZaLC1induXOHiIgILl26hNVqpV69egwaNIj69euXuM7Y2Fjc3d3R6XTytipVqmAymYiPj6datWry9mvXrtG4cWNmzpzJrl27qFq1Kq+99hpPPvlkqcYlEAgEpcVotN6LuJDtzq3VKalSVY2zQflQzBMVhwoRSocPH2bMmDE0atSIli1bYrFYOH78OP/+979ZtWqVnaZTHDIyMtBqtXbbpN9Go9Fue1paGitWrGDo0KEsX76cAwcOMH78eDZu3EhgYGCh7WRlZRW5liozM/ORXG8lxv1oIcZddthskJkJ6WlgMoJCAU560DuDNguSksu0uRJxP653hQil+fPn8+KLLzJp0iS77f/85z9ZsGAB69evL1G9Op0uj/CRfuv1ervtKpWKhg0byn1o0qQJx44dc0go6XQ6GjduXGiZs2fPFlnmYUSM+9FCjLv0SHHoUlIsODvZqFZVgaurCpdC4tDdL0oz7pIKswoxUl68eJFnnnkmz/ZnnnmmVFLYx8eH5ORkO8EUGxuLVqvF3d3drmy1atWoV6+e3ba6dety69atErcvEAgEjmCz2UhPtxB9x8iNa1kkJZpx0inx8dXiX1OHu4e60gmk+0WFCCV/f39OnTqVZ/vJkyfx9vYucb2NGzdGo9Fw4sQJeduxY8do2rSpnZMDQFBQEH/88YfdtosXL1KjRo0Sty8QCASFYbHYSEw0c/OGkZg7JoxZNtw91PjX0lHNV4Pe+dFwXigOFWK+GzlyJDNmzODixYs0b94cgFOnTrF27VomT55c4nr1ej39+vVj1qxZzJs3j9jYWFauXMns2bOBbK3J1dUVJycnBg8ezOrVq1mwYAGDBw9mz549/Pbbb2zatKlMxigQCAQSWZnZoX/S0u65czsp8fTMdlx4mN25y4IKEUoDBgwAYM2aNXzzzTc4OTlRt25d5s2bR/fu3UtVd3h4ODNnzmT48OEYDAbGjx9Pz549AQgJCWHu3LkMGDAAPz8/Vq1axZw5c1i9ejU1a9Zk4cKFNGnSpNTjEwgEAqvVRlqqlZSUe3HolNlzRa5uqkfGnbssUNhy55EQ5MGRyT4xAfxoIcb98GIyWklPt89mkJqamieYtLOzEo1W+bc7d6o1Ow6dNjsgqovLg+/OXVpHh5IcW26a0ueff86YMWPQ6/V8/vnnhZadOHFieXVDIBAIioVKreDShUzWRcTl2pMofxvygjcNG+m5G2e2Syvu6qbCyUloRaWh3ITS0aNHGTFiBHq9nqNHjxZYTthXBQJBZUKpVFC/gRNZWTaSkyx59ru4KtE7q7gbZ3YorbigeJSbUIqIiJC/z58/H19f3zwZZi0WC+fPny+vLggEAkGJcHVTMXCwFyuXx+bZF9bVDU8vNe4eKofSiguKR4XomV26dCExMTHP9hs3bvDcc89VRBcEAoGgUGw2G0ajlfR0CynJFmrW1mFwsX9EurgqeSLMnep+WpydVUIglQPlpilt2LCBZcuWAdkXu1+/fnk0pZSUFBo0aFBeXRAIBII8WK02TEYbJtO9j9GGyWTFZLZBDrcvpQp69HRn88YEeduzz3nj6V1hIUMfScrt7A4YMACdTofVamXatGmMGjUKV1dXeb9CocDZ2Zn27duXVxcEAsEjjMlkw2y6J3BMfwsiiyWH5FGARq1Ao1HibFCg0dz7aBUolQo8PNT8vCOZ5CQLbu4qWrQyPPAedZWdchNKGo2Gfv36AdkRHVq1apUnyoJAIBCUBqs1t8Zjk4VRztUuCqUCrVaB3lmJWpND+GgUhZrgcs4tDRzshaubqiKG9UhTIVKiTZs27Ny5k4sXL2KxZHuzZNtvjZw9e5ZVq1ZVRDcEAsEDitmcU/hY5e8Ws/0yS0ng6PUqWePRaBQl9oxTKhW0aGXAv1aS0JIqiAoRSu+//z5btmyhSZMmREVFERQUxLVr14iLi+P555+viC4IBIJKjtVqyxY+Oed77mlAubUejUaBk5PSztxWlNZTUlzdVITP8EOvF1pSRVAhQmn79u18/PHHdO/enR49ejBz5kzq1avH22+/TUZGRkV0QSAQVBLM5tzCxyqb3HKiUmcLGhfX7MgJkgBSqytWW1EqFSQlxWEw+FZou48qFSKUUlNTadasGQANGzbk1KlTNGjQgJdffpmXXnqpIrogEAgqEJstr7YjfbdZc2g9imwtR6tVYjD8rfFoNIpKZSpLSkrAz08IpYqgQoRSrVq1+P3336levToNGjQgKiqKgQMHYrVaSU1NrYguCASCcsBikTzcCnevVqnuaT0uksajRKOteK1HUPmpsNQVkydP5sMPP6Rnz570798fhULByZMnS5wKXSAQVAw2mw2zGUwmK2mpEBdrkoWQNbd7tUZZoHu1QOAIFSKUnnnmGerUqYOTkxP169dnyZIlbNq0iRYtWvDqq69WRBcEggeS/CJW54cUsbo0FORebTJZZa0nJRnS061oNIrsNmUnAyVqtYhlKSg9FbZwKKdG1KlTJzp16lRRTQsEDywFR6z+m+eGVaFla4PDdf7tZFD0olK1RoFer5aFT1oG1KqtK82QBIJCcUgodenShW+//RZPT0+77fHx8QwaNIjdu3cXevzQoUMLfYNau3atI90QCB45iopY7eauon4DpzzmsWK7V+uVdk4GBblXK0VWBkE545BQ6t+/P05OTnm2Ozk50b9//yKP79Chg91vs9nM9evX2bt3L+PHj3ewqwLBo0lhEasHDPJErVGQnGwpclGpWn3/3asFgqJwSCiNHTsWlSrvwjFnZ2cmTJhQ5PEFlfn+++/58ccfGTFihCPdEAgeSaSoAm7u8XbaksFFSZWqGmKjTcDf7tW5F5Wq1cLRQPDg4JAy3qFDB2bMmFFosr6S0Lp1ayIjI8u0ToHgYcTFVclTPd3ttvX6Pw/8a2nx8dXiX0tH7bo6/GpoqVpNg4enGoOLCq32wU/JLXi0cEhTWrBgAdu3b2fcuHHo9Xp69uxJr169CAwMdKiR69ev59mWmprKF198QY0aNYrXY4HgEcNisREbbaZ2HR0urkpSU6y4uavoGOqGu4cIcix4uHDojg4NDSU0NJRZs2Zx4MABduzYwSuvvILBYKB379706tWLevXqFXh8t27d8kya2mw2qlevzgcffFC6EQgEDzEmk42YO0ZMZhu16up49jlvEbFa8FBTrNcsjUZDp06dUCqVaLVatm7dyubNm1m1ahWNGzdm5syZ+Sbty+2dp1Ao0Gg0VKlSRaxrEAgKIDPTSsy9+SLf6lqcnJQiYrXgocehOSWz2czevXsJDw+nQ4cOhIeHo1KpWLFiBb/++isHDx6kRo0ajBs3Lt/jw8PDcXV1pUaNGtSoUQM/Pz+qVq1KQkICzzzzTJkOSCB4GEhNtXDnthGlEqr7ZQskyPbEmzazhtCSBA8tDmlKHTp0wGKxEBYWxoIFCwgJCbHzxtPr9YSFhXHq1Cl52969ezl58iQAR44cYenSpej1ert6r127xo0bN8piHALBQ0NigpnEBDM6JyXVfDR2uYCUSgU6nXBeEDy8OCSUZs6cSWhoKC4uLgWW6dGjBz169JB/169fnxUrVmCzZS/WO3nyJBqNRt4vpUOfP39+KboPRqOR2bNns337drRaLf/4xz8YPXp0occkJibSs2dP3nzzTQYMGFCq9gWCssJmsxEXayYt1YLBRUWVqup8zdslTVgnEDwIOCSUZs2axZo1a/KdLyoIf39/Vq9eDWSb7955551ChVpJ+eijjzhx4gSrVq3izp07TJkyBT8/P3r16lXgMR9++CF3794t874IBCUl28PORGamFQ9PNR6ewqtO8Gji0J0fEBDAkSNHiiWUrl+/jr+/PwqFgnHjxpGQkEBCQkK+ZWvWrOlwvTlJT09n48aNfPHFFwQGBhIYGMioUaNYs2ZNgUJp7969REVF4eXlVaI2BYKyJqeHXZVqGlxcxHyR4NHFIaFkMBiYPXs2ixYtokaNGuh09gEZ84td161bNw4ePIi3t7fsEm4Xc+veb4VCwdmzZ0vU+XPnzmE0Gu2CvbZu3ZqlS5diNptRq+2Hl5qaysyZM/noo4+YPHlyidoUCMqS/DzsBIJHGYeEUtOmTWnatGmxKt69e7ccwLWogK0lJTY2Fnd3dzshWaVKFUwmE/Hx8VSrVs2u/IIFC+jUqRPBwcHl0h+BoDikplqIizWhUSuo5qtFoxFzRQKBQ0Lp9u3bjBkzhtq1aztccc5IDTm/G41GLly4gJeXF9WrVy9GV/OSkZGBVqu12yb9NhqNdtsPHz7ML7/8wn//+99it5OVlVWkNpeZmVlije9BRoy7ZKSmZH+0OvDwhOQHJAGzuN6PFvdj3A4JpZ9//pmxY8cWu/KIiAjWrVvH8uXL8ff35/fff2fs2LHExMSgUCjo2bMnc+fOzSNYHEWn0+URPtLvnO7nmZmZvPvuu0yfPh1XV9cStdO4ceNCy5w9e7bIMg8jYtzFQ/Kw0+ss1KlTsIddZUVc70eL0oy7pMLMIQP2P/7xD2bMmMHevXu5ePEi169ft/vkx7p16/jkk0/o0aMHHh4e2Gw2Jk+ejEKhYNu2bfzyyy/cvn2bZcuWlajjAD4+PiQnJ9sJptjYWLRaLe7ufwevjIqK4urVq0yZMoWgoCCCgoKIiYlhxowZvPfeeyVuXyAoDhaLjTu3TaSlWvDwVFO1muaBEkgCQUXgkKa0cOFCAA4ePChvK8pRYcOGDcyYMYN+/foBcPToUa5cucLUqVNlL75x48YxY8YMJk6cWKLON27cGI1Gw4kTJ2jXrh0Ax44do2nTpnZODs2bN2fnzp12xz7//PMMHz5crFMSVAgmk43oO0bMwsNOICgUh4RSSRwV/vrrL9q0aSP//t///odCoaBz587ytrp16xITE1PsuiX0ej39+vVj1qxZzJs3j9jYWFauXMns2bOBbK3J1dUVJyenPPNhSqUSb29vvL29S9y+QOAIwsNOIHAch4RSjRo1sNls7Nu3j8uXL2OxWKhXrx4hISEFzgc5OTmRnp4u//7f//6Hv78/derUkbfdvn3bzsxWEsLDw5k5cybDhw/HYDAwfvx4evbsCUBISAhz584V2pDgviE87ASC4uGQULp16xZjx47l2rVr1K1bF4vFwtWrV/H19eWbb77Bx8cnzzEdOnRg7dq1zJo1i+PHj3Pq1CnGjBkj77darXz11Vd22lRJ0Ov1zJ8/P99wRefPny/wuH379pWqXYGgKKQYdk5OSqr5akS8OoHAARwSSu+//z7VqlVj9erVsmaTkJDAlClT+OCDD+Q5p5xMmjSJ4cOH06ZNGzIyMnjsscfkmHQ//PADX375JTExMaxbt64MhyMQ3H8cjWEnEAjy4pBQioyMZOPGjXamNk9PT958802GDh2a7zE1a9bkp59+kueSOnToIJv6MjIyaNeuHcOHDy9xiCGBoDJisdiIiTaRJWLYCQQlwqF/jLu7O4mJiXm2JyYm2kX+zo1Op+PJJ5/Ms33QoEHF6KJA8GAgPOwEgtLjkBtQ7969effddzlw4ADJyckkJyezf/9+3nvvPXr37l3efRQIKj2ZmVZu3zJitWZ72AmBJBCUDIc0pddee424uDjGjBkjB1VVqVQMGTKEt956q1w7KBBUdoSHnUBQdjgklLRaLfPmzWPatGlcuXIFrVZL7dq182SSFVRuTEYr6enWIss5OyvRaMVaGkdIiDeTlCg87ASCsqJAodSuXTvatm0rfwICAnBzc6N58+YlaujGjRukp6fTsGFDADZt2sTjjz+Ov79/yXouKDYqtYJLFzJZFxFXYJnnhlWhZWtDBfbqwcRmg9gYk/CwEwjKmAJfhydPnoybmxvr16+nX79+tG/fnldffZWIiIhC1//kxy+//EKvXr3Ys2ePvO2nn36iT58+/PbbbyXvvaBYKJUK6jdwIivLRmyMOc8nK8tG/QZO4m2/CCwWG/F3yY5h5yVi2AkEZUmBmtKzzz7Ls88+C2Qnxztx4gSnTp1i7969LF68GIVCQXBwMO3ateOFF14otJFPPvmEyZMn8+KLL8rbVq5cyTfffMNHH33Ed999V0bDERSFq5uKgYO9WLk8Ns++gYO9cHUTE/SFYTRmhwwymaBqNQ0G4dAgEJQpDs0pubi40KlTJzp16kR8fDzHjh1jx44d7N69m127dhUplK5fv24X807iySef5JNPPilRxwUlQ6lU0KKVATf3eJKTLPJ2N3cVLVoZhJZUCBkZ2QJJoQAvb4RAEgjKgSKFUkJCApGRkRw6dIhDhw5x9epVateuTdu2bZkzZw5t27YtspH69evzww8/MG7cOLvtO3bsoFatWiXvvaBE5Kct9ezjjsFFODcURGqKhbi4vz3s0tKLPkYgEBSfAoXS3LlzOXToEBcuXKBmzZq0bduWCRMm0LZt2zxpxoti8uTJjBkzhoMHD8pp1c+ePcupU6dYvHhx6UYgKDZKpYJGTfUYXJSkpVpxcVHiX1PH7ZsmPDzVuLgqxRxJDoSHnUBQcRQolKRAq2+//TZ9+vTBy8urxI106NCBrVu38u2333L58mU0Gg3Nmzdn7ty5wvvuPqFQQNfubmzdksizQ72p18CJxAQLd+NMJCcp8PBSYzA82uYpq9XG3bjsGHYuriq8qwgPO4GgvClQKC1fvpxDhw7xn//8hwULFlC3bl3atWtHu3btCA4OxsPDo1gN1a9fn7fffrvUHRaUHqvVRnq6jRatDBw7mk6LVgacnVU4O6tIS7OQGG8mNtpEspMFLy81ukcw/49dDDsvNR4eIoadQFARFPhPCw0NJTQ0FIDk5GQOHz5MZGQkCxcu5NKlSzRs2FAWUmFhYXmOf/7551m2bBlubm4MHTq00DfMtWvXlsFQBI6SkW7FZrXh46tl2swadknnDAYVzs5KUlKsJCWYuX3LiLOzCg8vFdpHZEGt5GFnNtuEh51AUME49Prn5uZG165d6dq1KwB//PEH69atY+PGjaxevTrfdOiPP/64HKy1Q4cOZdhlQWlJSbGgUiswuKiwWGx55kgUCgVubipcXJQkJ1lISrSQftOCq6sKdw81avXDa8LK6WFXvbr2kdQSBYL7SZFCKTU1ldOnT3Pq1CmioqKIiooiKSmJpk2b8vzzzxMcHJzvcRMmTMj3u+D+YjbbyMyw4n7PHKVSFSxglErFPccHFUmJZlJSLKSmWHFzV+HuoXroJvxze9iJGHYCQcVToFCaOnUqp06d4urVq2i1Wlq0aEFwcDDDhg0jKCgIJycnhxuJi4tjxYoV/PXXXxiNxjz7V65cWbLeC4pNamr22iQXV8dNUmq1Au8qGtzc1bInWmqKBXdPNffi8z7wCA87gaByUKBQio+Pp3///gQHB9OsWTPU6pJP9L7xxhvcvHmTLl26FEuYCcqetBQLOidlibQAjUZBNR8NWZkq4uPNxMeZiIuFtDTLA+upJzzsBILKRaHed2XF6dOnWbduHY0bNy6zOgXFJyvTislkw9u9dJ5kOicl1f20pKVZuHYdYqNNJOkseHmr7ZwmKjvCw04gqHxUyBOkefPm3Lx5syKaEhRCaqoFhUJRZpEbDAYVVaqCdxUNFrONO7eMxNwxYTQWnR7jfmM0ZiflM2Zle9gJgSQQVA4q5J/44YcfMnToUHbv3o2fn18e84hwhCh/rFYbqalWnA3KMp0vUSiywxYZJE+9JAvpN7JNYR6eldNTL6eHnW91jfCwEwgqERUilD777DPi4+M5f/48V69etdunUCiEUKoA0u+tTSqOg0NxkDz1XN1UJCZke+qlpVY+T72cHnY+1bWVUmgKBI8yBQqlW7duOVyJn59foft37drFv/71L9q3b+94zwRlSuq9tUl6fflqBSpVXk+9lBQLHh4qXN1U99WJQPaw0yup5iM87ASCykiBQiksLCzfB4jtng9wzn35LZ7NiZ+fH87OziXtY6EYjUZmz57N9u3b0Wq1/OMf/2D06NH5lv3xxx9ZunQpN27coFatWrz++uv5RqN42Mi9NqkiyOmplxBvJv6umeRkC56e6gqPkGC12oiLNZOeJjzsBILKToFPqZ07d8rf9+/fT0REBFOnTiUwMBC1Ws0ff/zB/PnzGTx4cJGNTJgwgbfffpvhw4fj7++PSmX/UHr88cdLPICPPvqIEydOsGrVKu7cucOUKVPw8/OjV69eduWOHj3KlClTeO+992jXrh179+7l1VdfZdOmTTRp0qTE7T8IlGRtUlmhc1Li66clPd1CQryF2BgTSUkWPL3U5a61QbaHXfQdE8Ys4WEnEDwIFPgPzZnn6F//+hefffYZLVq0kLd16NCB2bNnM0LR36wAACAASURBVG7cOIYOHVpoI5MmTQJg5syZefYpFIoiNa2CSE9PZ+PGjXzxxRcEBgYSGBjIqFGjWLNmTR6h9N1339G9e3c5m+6LL77Ir7/+yo8//vjQC6XSrE0qK5ydVej12akyEhLMRN82ondW4umlLreYelIMO4tZZIkVCB4UHHptTE1NxWw257vdZDIVefy5c+eK3zMHOHfuHEajkdatW8vbWrduzdKlSzGbzXYLfocNG5ZnAbBCoSArK6tc+lZZkNYmVakEGoJCocDFVYWzQUlycnZMvVs3jOXiqSc87ASCBxOHnlR9+vRhypQpvPrqqzRq1Aibzcbp06dZtGgRQ4YMcaih9PR0vv/+ey5fvozFYqFevXr06tWrVHmaYmNjcXd3R6fTyduqVKmCyWQiPj7eLhlho0aN7I69cOECv/32m0PmxweZlJTstUnOhsrzUFYqFXh4qHF1VZGUaCE52VymnnrCw04geHBxSChNmzYNFxcXPvroI+Lj44Hsh//QoUMZO3ZskcefO3eOUaNGodFoCAwMxGKxsGfPHpYsWcKaNWt47LHHStT5jIwMtFqt3Tbpd34x9iTu3r3LhAkTaN26tRz5vDCysrKKNDFmZmaW2AxZXthsEBMNTk6Qnlk+bZTFuC0WSEmGy5dBqQSDKzg7Z6+BKi4pyZCWClodeHhCcmqpulYglfF6VwRi3I8W92PcDgkltVrNpEmTmDRpkiyUiqPhfPDBB3Tq1InZs2fLJjSz2cz06dP54IMPWLVqVQm6DjqdLo/wkX7r9fp8j7lz5w4vvfQSSqWShQsXolQWrUHodLoiQySdPXu20oVRSk214Oxkwqe6ttycCspy3FlZVhLizWRmWFFr7kUovzcPZDJaSU8vOFKE1Woj/q4ZLw+oV09d7h52lfF6VwRi3I8WpRl3SYWZwxMN586dY82aNVy9epWPP/6YNWvWUKtWLTkRYGFERUUxa9YsuzkdtVrN6NGjeeaZZ0rUcQAfHx+Sk5MxGo2yhhQbG4tWq8Xd3T1P+evXrzN8+HD0ej2rV6/G09OzxG0/CFTU2qSyQqdT4ltdS0a6lfh4M3ExJpLveerpdAouXchkXURcnuNsNhsWCzzV04N2HV3w9NTch94LBIKywKGn1f79+xkyZAgWi4VTp05hNBqJj49n3LhxbNu2rcjjq1WrxrVr1/Jsv3LlCi4uLsXv9T0aN26MRqPhxIkT8rZjx47RtGnTPE4NiYmJjBgxAldXVyIiIqhSpUqJ230QkNYmuTyAHmd6ZyU1/LVUqarJdum+bSQm2kTN2lqysmzExpjtPnGxFoxGGy1aOQuBJBA84DgklD799FPCw8OZO3euvMbotdde45133mHp0qVFHj948GDeffddNmzYwNmzZzl79izr16/nvffeK5WjgV6vp1+/fsyaNYuoqCh2797NypUrefHFF4FsrSkzM1MeQ0JCAvPmzcNisRAbG0tsbCwpKSklbr8ycz/XJpUVLq4qavhr8fRSk5VlIyXZylM982rAAAMGeeHjq813n0AgeHBwyHx3+fLlfFOad+zYkblz5xZ5/MiRI8nIyOCTTz4hKSkJgKpVqzJy5Ej+8Y9/FK/HuQgPD2fmzJkMHz4cg8HA+PHj6dmzJwAhISHMnTuXAQMGsH37dlJTU+nXr5/d8X369OHjjz8uVR8qI6kpFpzu89qkskCpVODuIcXUs1C7rg6DS/Z6JwlXNyVt2rmIsEECwUOAQ0LJ39+fkydPUrNmTbvte/bsybMtPxQKBa+++iqvvvoqd+/eRafTlcpslxO9Xs/8+fOZP39+nn3nz5+Xv0dGRpZJew8CmZlWzCbbQxW9QKlU4OWtxsVVSc8+HmxaFy/vGzTEG1e3B1cjFAgEf+PQU+v1119nypQpnD59GovFwubNm7l+/To7duxgwYIFDjV06dIlzpw5g9lsluPnSQwcOLD4PRcUSGolXJtUVmi1SkKecGP7fxNJSc5e29SilUFoSQLBQ4JDQqlr1678+9//ZuXKlTRo0IBff/2VunXrsnbtWrvQQwWxfPlyPvnkE9zd3TEYDHb7FAqFEEpliNVqIy2t7PMmVSZc3VQMGuLNyuWxDBzsJbQkgeAhwiGhdPv2bRo1asRHH31ktz0rK4vvv/8+zzxNbtavX88bb7zByy+/XPKeChyivPMmVQaUSgUtWhnwr5UktCSB4CHDIftOWFgYr7/+Ounp6XbbU1JSCA8PL/L45ORknnrqqZL1UFAsUlMsqDUPztqkkuLqpmLazBpCSxIIHjIcenLZbDZu3LhB//797ZwHHKVv376sX78+z1ySoGx5kNcmFRelUoFO9/CaKAWCRxWHzHcKhYKlS5eyevVqhgwZwjvvvMPAgQMdDuOSkJDAzp072bZtGzVq1ECjsV/guHbt2uL3XJCH1JTstUmPSooGlUoIJIHg/9u787Cqqv3x429mFAQEESUMFScQGc0kh65iTmmJmnQ1jcych2t6AyQHxLFSK8wBhwY0TcnhaoqlGeWQiSFOUIrmmHjUcGLm7N8f/Nhfj4AcURk/r+fheThr77X3Wug5n7P2mqoavYKSoigYGRkxefJkvLy8CA0NJT4+nokTJ+p1k8aNGzNy5MjHKqgo2d27VWNukhCi+nrkiSxdunShadOmjB8/nqFDh+qVZ+zYservaWlpaLXax9qyQhRWFecmCSGqH736lJ577jmdR27Ozs588803uLm56d1PtHr1al544QX8/Pxo164dbdu25dNPPy1dqUUhVXlukhCi+tDra3V0dHShNHNzcz788EO9Js8uXryYtWvXMmHCBLy9vdFqtfz+++8sXrwYMzMzGSr+mKrD3CQhRPVQbFAaNGgQS5cuxcrKikGDBhV7AQMDA9asWfPQm2zYsIHZs2fTuXNnNc3V1ZV69eoxa9YsCUqPKf1e/twkGR4thKjsig1Kfn5+6iO7tm3bPtaGaffu3aNhw4aF0hs2bKhuGihKr2Bukrm5PLoTQlRuxQal+wcnjBs37rFu4u3tzerVqwkPD1e3vsjLy2P16tV4eHg81rWru9xchcxMLTa1ZYCDEKLyK/aTTJ+VGgqUtH1FaGgogwYNYt++fbi5uQFw8uRJtFotK1eu1Ps+orCCuUlVeVkhIUT1UWxQys3NVX/Pysri+++/p2XLlri7u2NiYsKpU6c4evQor776aok3cXFxYefOnWzfvp2UlBTMzMz417/+Ra9evahZs+aTqUk1VTA3ydhYBjgIISq/YoPS/aPq3n33XcaOHavzSA/yV/8+fPiwXjc6d+4crq6uDB48GIDIyEhOnz6t1yrjomgyN0kIUdXo1TP+448/0qtXr0LpL730kl5B6dtvvyUoKEhn3bwrV64wZMgQduzY8QjFFfe7czsPA0OZmySEqDr0+jRr2LAh3377rU6aVqvlq6++olmzZiXmX7ZsGXPnztUZWj537lxmz54tE2hLSatVSL+nxULmJgkhqhC9nvu8//77jBw5ktjYWJo1a4aiKCQlJZGVlcWqVatKzK/RaGjZsmWhdHd3d/7+++9HL7XIn5ukVO19k4QQ1Y9eLSUfHx++//57goKCcHBwoF69egwfPpzY2FhcXV1LzN+qVSu+/PLLQksSrV27lhYtWpSu5NWczE0SQlRFerWUXnnlFT766KOHruzwMKGhobz11lvExcWpQSw5OZn09HSWL19eqmtWZzI3SQhRVen1qXbr1i110mtpuLm5ERsby44dO0hJScHExIR27drxyiuvYGlpWerrVlcyN0kIUVXp3VIaOnQovXv35plnnsHMzEzneP/+/Uu8Ru3atQu1tLRaLWfOnKFJkyaPUGQhc5OEEFWVXkFp586dmJiYEBsbW+iYgYFBkUGpTZs2xMbG6uybtGDBAt5++21sbGwAuHnzJr179yYpKam05a92MjL+/9wkeXQnhKiC9Ppk+/HHHx/5wrdv3y5yYMOAAQPUoATovR9TcbKzs4mIiCA2NhZTU1OCgoJ45513ijw3OTmZ6dOnk5ycjIuLCzNmzKh0a+/dvfP/5ybVlAEOQoiqR++v2xqNhnPnzpGXl6emZWdnc+rUKUaNGqXXNYoKQI+z+jjABx98QEJCAp9//jlXr17lvffew9HRkZdfflnnvPT0dIYNG0bPnj2ZM2cO69evZ8SIEfzwww+Vpl9LnZtkKXOThBBVk15Bad26dcyaNYu8vPzdTQuCi4GBAZ6ennoHpSctPT2dDRs2sGzZMtzd3XF3d2fYsGGsWbOmUFDasWMHJiYmhISEYGhoyJQpU4iLi2Pnzp289tpr5VL+RyVzk4QQVZ1ez4BWrFjBqFGjOHbsGHZ2duzdu5ft27fj6uqKv7//0y5jsZKTk8nOzsbX11dN8/X15fjx4zoLygIkJibi4+ODoWF+lQ0MDPDx8SEhIaFMy/w4ZG6SEKKq0+vT7dq1a/Tp0wdTU1NatmxJQkICTZo0ISwsjI0bNxaZx8DAAK1Wq/4UtLIeTHscGo0Ga2trndGAderUIScnp9DmgRqNhrp16+qk2dnZkZqa+lhlKCs5Oflzk6SVJISoyvR6fGdnZ8fNmzdxcnKicePGJCUl0bNnT+rWrcu1a9eKzKMoCh07diyU1r17d53Xj9OnlJGRgampqU5awevs7Gy9zn3wvKJkZWWVOEIwMzPzqY4ivHMH7t0B+3SoSCszPe16V1RS7+pF6l129ApKPXv2JDg4mFmzZtGhQwcmT56Mq6sre/fuxdnZucg8X3311RMtaFHMzMwKBZWC1zVq1NDrXHNzc73uU9JySklJSXotuVRaFy9kYdLAgHr1TUs+uQw97XpXVFLv6kXqXbq8paFXUJo0aRJWVlakpaXh7+/Pa6+9xsyZM7GxsWHOnDlF5mnTpk2pCvQoHBwcuH37NtnZ2WorSKPRYGpqirW1daFzNRqNTtr169ext7d/6uV8XBkZWvJyFWrbytwkIUTVplefkrGxMaNGjVIHNUycOJFff/2V2NhYfHx8nmoBH8bV1RUTExOdwQpHjhyhZcuWGBvrfoB7enqSkJCgjhxUFIWEhAS8vLzKtMylIXOThBDVRbFfvRcvXqz3RR7ckbas1KhRgz59+hAeHs68efPQaDSsXr2aiIgIIL/VVKtWLczNzenevTsLFiwgIiKCgQMHsmHDBu7evUvPnj3Lpez6krlJQojqpNigdODAAfV3rVbL0aNHqVOnDi1atMDY2Jg///yT1NRUOnToUCYFLU5oaCgzZszgzTffxMLCgjFjxqiBpn379sydO5e+fftiaWnJ8uXLmT59Ohs3bqR58+ZERUVV+ImzBXOTasmoOyFENVBsUPr666/V32fPnk2zZs2YNm2a+lhMq9UyZ84cbt26pffNtFotly9fpn79+mi12kKj4UqjRo0azJ8/n/nz5xc6dv/26wAeHh5s3rz5se/5NORka0lP1xZKT72ag1abPxw8M1NLzZqGmJjKYzwhRNWkV895TEwMmzZt0umnMTQ0ZNCgQQQEBJSYPzc3lwULFrBmzRry8vLYtWsXH330EcbGxkRERFCzZs3S16CKMDI2IOV0Juuir6tpiqKQmwtGhmBoZMC/B9fBy9eiHEsphBBPl15fuevWrcsvv/xSKH3nzp00aNCgxPyffPIJ+/btY/Xq1epE18GDB3Pq1CnmzZv3iEWumgwNDXBpak5WloLmWi6aa7lc1+SR9k8eN27kkZWl4NLUXPqVhBBVml4tpcmTJzNx4kR2795NixYtUBSF48ePk5SUxLJly0rM/9133/Hhhx/qLAfUunVr5syZw+jRo5k5c2bpa1CF1LIyon+gLaujNIWO9Q+0pZaV9CsJIao2vVpKL730Elu2bMHd3Z3z589z4cIFWrduzf/+9z/8/PxKzP/PP/9gZ2dXKL1GjRpkZmY+eqmrKENDAzx9LLCy1g0+VtZGePpYSCtJCFHl6T0bs0mTJrz33nuluomfnx8rVqxg1qxZatqdO3dYuHAhbdu2LdU1q6qiWkvSShJCVBd6BaW0tDRWrVqlrr5d1OZ9DzN9+nTGjBmDn58fWVlZjBgxgr///hsnJyeWLl1a+tJXQQWtJQvLG9y7q5VWkhCiWtErKIWGhnLs2DF69+5dqnk9Dg4OxMTEcPDgQc6ePUtubi6NGjWiffv26lYS4v/UtDDE/yUr/rc5TVpJQohqRa+gdPjwYZYtW0br1q1LdZMhQ4bw2Wef4efnp9MHdfPmTd555x2+/fbbUl23qsrOVmjWogaOTveklSSEqFb0Ckq2trY6exbpIy4ujqNHjwL5Qe2zzz4rtHL3hQsXuHTp0iNdtzrIzNBiUcuIsPBnqFFDWklCiOpD7yHh4eHhjBs3Dicnp0IrMRQ1V8nFxYVVq1ahKAqKonD06FFMTEzU4wYGBtSsWbPIlRiqu8xMhRo1DDE3N5JWkhCiWtErKI0fPx6AESNGAKgb8xVs0lfUvhlOTk7qnkqhoaGEhYVV+HXmKoK8PIWcbC0WtsYYGUlAEkJUL3oFpT179jzWTebOnUtOTg6XL19Gq81f301RFLKzszl16hSvvPLKY12/KsnMyP/71DCXASBCiOpHr6D0zDPPqL8XFVTuP16UH374gffff5/bt28XOubg4CBB6T6ZmVoMDAwwNZNWkhCi+tErKMXHxzNjxgxSUlIKX8DYmOPHjz80/4IFC+jWrRtBQUH8+9//JioqirS0NCIiIhg1alTpSl5FZWYqmJkbqI9IhRCiOtHrGdHs2bN59tlniYqKokaNGkRGRvL+++9jY2Oj10CFS5cuMWzYMBo3boy7uzsajYYXX3yRGTNm8Pnnnz92JaqKgv4k8xry6E4IUT3p9el35swZJk2aRIcOHWjZsiUmJiYMGjSI6dOns3LlyhLzW1lZkZGRAUCjRo3UgRGNGjWSIeH3kf4kIUR1p9enX40aNdSVFxo3bkxycjKQv2neuXPnSszfqVMnwsPDOX36NM8//zxbt27l2LFjfP311zg4ODxG8asW6U8SQlR3egWltm3bsmDBAlJTU/H29ua7777jxo0b/PDDD9jY2JSYf8qUKTRu3JiTJ0/SpUsXvLy8CAwMZP369QQHBz92JaqKzAyt9CcJIao1vQY6vP/++wQHB/P999/z+uuvExMTQ7t27TAyMmLGjBkl5rewsNBZIfyjjz5ixowZmJub6+xmW53l5Snk5ChY1JIVHIQQ1ZdeEaFu3bo6AxKio6M5c+YMVlZWOqs0FGfLli3FHjM1NcXe3h5PT89CK0VUJ9KfJIQQegYlV1dX9u/fj62tLZC/okPTpk25dOkS3bt3JyEh4aH5N23aRHx8PGZmZjRq1AhFUTh//jwZGRk4OTmRlpZGrVq1WLFiBS4uLo9fq0pI+pOEEOIhQWnz5s3ExMQA+RNlR40aVehRm0ajoW7duiXepFmzZlhYWDB//nysrKwAuHv3LmFhYTg6OjJ58mTmzJnDnDlzWLVq1ePUp9LKzNBiXkP6k4QQ1VuxQalbt25cvnwZgCNHjuDj44OFhYXOORYWFnTt2rXEm2zZsoVvvvlGDUgAlpaWjB8/nsDAQIKDgxkyZAh9+vQpbT0qtdxc6U8SQgh4SFCqWbMmY8eOBfKXGerZs+cjb19x/7VOnz5d6NFcSkqK2o+Unp6Oubl5qa5f2WVlSn+SEEKAHn1Kx44d4+WXX1aDx48//siBAweoXbs2/fv312ue0dChQwkLCyM5ORl3d3cATpw4wdq1a3n77be5evUq06dP58UXX3ykwl++fJmpU6fy+++/U79+fUJCQoq9Rm5uLp999hlbt24lLS0NDw8Ppk6dWiH6sDIztRgYSn+SEEIU+9X85s2b9O3bl8DAQC5evAjAqlWrGDNmDEePHiU+Pp4+ffoUuR7eg4KCgpg+fTq//vor//3vfwkNDeXQoUOEh4czcuRILl68iLe3N9OmTdO74IqiMHr0aGxsbIiJiSEgIIDx48erZX1QVFQU3377LTNnziQmJoZ69eoxbNgw0tPT9b7n05KZocVc5icJIQQoxZg6daoSGBioXLhwQVEURbl9+7bi4eGhDB06VD1n4cKFyujRo4u7xFN14MABpVWrVsqdO3fUtDfffFNZuHBhked36dJFWbdunfo6KytL8fLyUuLi4kq816lTp57IOUXJydEq51IylLR/ckqVv7yVtt6VndS7epF6l13eYltKP/30E//973/VXWV/+eUXsrKyCAwMVM956aWXOHz4sF7B76effuKtt96ic+fOXL58mY8//phvvvmm1ME0MTERNzc3nY0DfX191S3YHzRz5ky6dOmivjY0NFS33yhPBf1JsgirEEI85PHdP//8g6Ojo/r64MGDGBsb88ILL6hpNjY2en2ob926lffeew9fX19u3LiBVqvF3t6eefPm8cUXX5Sq4EUNR7ezs+Pq1atFnu/n50edOnXU1xs3biQ3NxdPT89S3f9JUfuTTOXRnRBCFDvQoX79+vz111/Ur18frVbLzz//jLe3t07LJD4+XidwFWflypWEh4fTo0cPdR7SoEGDsLOz44MPPiAoKOiRC56RkVFoNQlTU1NycnJKzHvkyBHmz5/P8OHDsbe3L/H8rKysIrd8v19mZmaJ5xRFcw2MjSE945GzVgilrXdlJ/WuXqTeZafYoNSnTx/mzJnDuHHj+PXXX0lNTSUkJEQ9fuzYMRYuXMiAAQNKvMmFCxfUUXf3c3V15fr163oVdNmyZSxfvlx97eHhgbW1tc452dnZJQ4rP3ToEKNGjaJTp07qkPeSmJmZ4erq+tBzkpKSSjznQbm5CjXMsqhta4y1TeVcA7A09a4KpN7Vi9S7dHlLo9hPwhEjRnDnzh2mTp2KgYEB48ePp0ePHkD+pn/R0dF06tSJ4cOHl3iTZs2aERcXxxtvvKGT/u2339K8eXO9Cvr666+r9wfYsWMHP//8s845169ff2jLJy4ujnHjxuHv78+HH36obsdRXjKlP0kIIXQUG5SMjIwIDg4ucmuJ/v37ExAQgJubm143CQ4OZsSIERw8eJCcnByWLFnCuXPnSE5OZtmyZXpdw8bGRmebDC8vL6KiokhPT6dmzZpA/mM5Ly+vIvMnJiYybtw4unfvzty5czEyKv/VEzIzpD9JCCHuV6qv6M2bN9c7IAG0bt2aXbt20axZMzp37szt27dp3bo1O3bsoG3btqUpAm3atMHR0ZGQkBBOnz5NVFQUiYmJvPbaa0D+ozyNRkNeXh6KojBlyhSaNGnCpEmTuHnzJhqNBo1GQ2ZmZqnu/yRkZcr8JCGEuF+ZdGQUrOgwYcKEJ3ZNIyMjlixZQlhYGH379uXZZ59l8eLFODk5AZCQkMCQIUPYs2cP6enpnDlzBoCOHTvqXGfWrFlqICtLBevdWcp6d0IIoSqToJSUlPRUNvNzdnZmzZo1RR57/vnn+eOPP9TX9/9eEUh/khBCFFYmQen1119XVwR/5plnCm3m5+fnVxbFqFCkP0kIIQork6C0dOlSIH9VhQcZGBhU0/H/0p8khBAPKpOglJycXBa3qTRycxVycxRqSX+SEELoKJOgdOXKlSLTDQwMMDExoXbt2hViiHZZkf4kIYQoWpkEpZdeegmtNv+DWFEUAJ3HVsbGxnTp0oWIiAidZYyqKulPEkKIopXJV/Xw8HCcnZ1ZsWIF8fHxxMfHs3r1apo0acLEiRNZu3Yt169fZ968eWVRnHKXmamlhrmh9CcJIcQDyiQoRUZGMmfOHNq3b4+lpSWWlpb4+fkRERHB2rVr8fDwIDQ0lN27d5dFccpVQX+SeQ0JSEII8aAyCUr37t0rcp6SgYEBd+7cAcDS0lKvFb4ru4L+JDNz6U8SQogHlcknY7du3QgJCeHgwYPcuXOH27dvc/DgQd5//326dOlCRkYGy5cvx8PDoyyKU64K+pPMzCQoCSHEg8pkoMO0adOIiIhg+PDh5Obm5t/Y2Ji+ffsSHBzM/v37OXXqFB999FFZFKdcFfQnCSGEKKxMgpKZmRmzZs1iypQpnD17FmNjY5599ll1de8uXbrobFVeVRX0J1lZSX+SEEIUpUyC0uHDhwulnTx5Up2nZG9vr9cOtpVdZobMTxJCiIcpk6AUFhbGpUuX0Gq1WFtboygKt2/fxsDAACMjI3Jzc/H09CQyMpK6deuWRZHKRWamFkMjA0xNJSgJIURRyuTTMSAggFatWrFz504OHTrEb7/9xg8//EDr1q2ZOHEiBw8exMHBgVmzZpVFccpNZqYWcxngIIQQxSqTT8gvv/yS8PBwGjVqpKY1aNCAsLAwVqxYQe3atZkwYQIHDx4si+KUC5mfJIQQJSuzr+03b94sMi0vL099XZVXOJD+JCGEKFmZ9Cn179+f4OBgxo8fT6tWrVAUhRMnTrB48WICAgL4559/+PDDD2nTpk1ZFKdcZGRIf5IQQpSkTILSpEmTsLCwIDIykmvXrgHg4ODAG2+8QadOnThx4gTGxsZMmzatLIpTLrKypD9JCCFKUiZBycDAgFGjRjFq1Cj++ecfAL777js2b97MwoULSUpKokOHDmVRlHIh85OEEEI/ZRKUAPLy8oiLi2PLli3s3buX3NxcvLy8mD9/flkVodxIf5IQQujnqQel5ORkNm3axPbt2/nnn3+wt7cnLy+PZcuW8eKLLz7t21cI0p8khBD6eWpB6YsvvmDz5s38+eefODs7ExAQQNeuXfHw8MDd3Z1nnnnmad26wsnM1GIu690JIUSJnlpQmjdvHs7Oznz44Yf07NkTQ8Pq+aGcm6uQl6tgbi39SUIIUZKnFik++ugjGjduTGhoKG3atOHdd99lx44d3L1792ndskKS/iQhhNDfU/uk7NWrF0uXLmX//v289957XL9+ncmTJ+Pn54dWq+XgwYNkZ2c/1j0uX77M0KFD8fLyokePHsTFxemVLz4+nhYt0U/mZgAAGaNJREFUWnDp0qXHur8+pD9JCCH099Q/Ka2srBgwYABfffUVP/30E++++y4tW7Zk9uzZdOjQodTr3SmKwujRo7GxsSEmJoaAgADGjx/PxYsXH5ovKyuLsLAwFEUp1X0fJidby620XJ2f65qcQuk52donfm8hhKgKymxIOEDdunV56623eOuttzh//jzbtm1jx44dpbrWr7/+yrlz51i7di2WlpY0adKEAwcOEBMTw8SJE4vN9+mnn2JnZ8dff/1VyloUz8jYgJTTmayLvg7kB87cXDAyAkPD/D6lfw+ug5evxRO/txBCVAXl9kzJ2dmZsWPHljooJSYm4ubmhqWlpZrm6+vL0aNHi81z4sQJtm7dSnBwcKnuWRJDQwNcmpqTlaWguZbLdU0eaf/kceN6HppruWRlKbg0NVcDlBBCCF1l2lJ6kjQaTaG9l+zs7Lh69WqR5+fk5DBlyhRCQkKwsbF5pHtlZWWRlJT00HMyMzNJSkqiZk1LAl6z4cuVNwqdE/CaDWm3rnDl73uPdP+KrKDe1Y3Uu3qRepedShuUMjIyMDEx0UkzNTUlJyenyPOXL19OvXr16NWrF+fPn3+ke5mZmeHq6vrQc5KSktRzbKxz2bwxjdu3/m8FdCtrI3xa18LapvYj3buiu7/e1YnUu3qRepcub2lUmiFhy5Ytw9vbW/25fPlyoQCUnZ2Nubl5obynT58mOjqaGTNmlElZa1kZ0T/QVietf6AttayMyuT+QghRWVWaltLrr79Ojx491Nc7duzg559/1jnn+vXr2NvbF8q7a9cu7ty5w8svvwygjrzr1asXM2fO5JVXXnmiZTU0NMDTxwIr65vcvpWHlbURnj4W0pckhBAlqDRBycbGRqcvyMvLi6ioKNLT06lZsyYAR44cwcvLq1DeN954g969e6uvr1y5QlBQEFFRUbi5uT2V8ha0llZHaaSVJIQQeqo0QelBbdq0wdHRkZCQEMaNG8fevXtJTExk9uzZQP6jvFu3bmFra1sooBVwdHTUGb33JBW0lpyevSWtJCGE0FOl6VN6kJGREUuWLOHmzZv07duXrVu3snjxYpycnABISEigffv2/P333+VWxlpWRkyZ8Yy0koQQQk+VtqUE+XOd1qxZU+Sx559/nj/++KPYfMUde5IMDQ0wMzOUVpIQQuip0raUKgsjIwlIQgihLwlKQgghKgwJSkIIISoMCUpCCCEqDAlKQgghKgwD5WlsLFTFHD16FDMzs/IuhhBCVBpZWVlFLmZQEglKQgghKgx5fCeEEKLCkKAkhBCiwpCgJIQQosKQoCSEEKLCkKAkhBCiwpCgpIfs7GymTp3Kc889R7t27VixYoV6bOHChbRu3Zq+ffty7tw5NT0rK4tevXpx586d8ijyY8nOzqZXr14cOHBATUtLS2P8+PH4+PjQuXNnNm/erB7TarWEhobi4+PD4MGDuXHjhnrs+vXrvPrqq+Tl5VFRXbhwgZEjR/Lcc8/RsWNH5s2bR1ZWFgCXL19m6NCheHl50aNHD+Li4tR86enpjBw5Eh8fH8aOHUtmZqZ6LDk5mTfffLPM6/IoUlJSCAoKwtvbm06dOrFy5Ur1WFWu9/3CwsIYPHiw+jo5OZnAwEA8PT3p27cvx44dU49pNBoGDhyIj48PU6dO5f6Byz/++COhoaFlWvbH9fvvv9O8eXOdn1dffVU9Xl7veQlKevjggw9ISEjg888/Jzw8nKVLl/Ldd9+RnJzM2rVr+eqrr/D09GTBggVqnvXr19OjRw9q1apVjiV/dFlZWbz77rucPn1aJz0kJIS0tDTWrVvH6NGjmTZtGr///juQ/4b87bff2LBhA7Vq1SIqKkrNFxUVxVtvvYWRUcXcviM7O5uRI0diamrK+vXr+eijj9i9ezeLFi1CURRGjx6NjY0NMTExBAQEMH78eC5evAjAxo0buXnzJjExMaSmprJhwwb1uosXL2bs2LHlVa0S5eTk8M4771C/fn22bNnCtGnTWLJkCf/73/+qdL3vd/DgQWJiYtTX6enpDBs2DE9PTzZt2oSvry8jRozg7t27AKxYsQJbW1s2bNjA/v37+fHHH9W8S5cuZfTo0WVeh8eRkpKCu7s7+/btU3+++OIL9Xh5veclKJUgPT2dDRs2MGXKFNzd3enSpQvDhg1jzZo1nD17lqZNm+Lm5kbnzp05e/YsAJmZmWzYsKFSfWMEOHPmDAMGDODChQs66RcuXGDv3r1ERETQvHlz+vfvzyuvvMLXX38NwNmzZ/Hy8qJJkyZ07NhR/Ttcu3aNQ4cO6ez6W9EcO3aMCxcuMHfuXFxcXGjTpg0TJkxg27Zt/Prrr5w7d46ZM2fSpEkThg8fjre3t/pBdvbsWdq2bUvjxo1p27atWu9Tp05x7949nnvuufKs2kOlpqbi4eHB9OnTcXZ2plOnTrzwwgscPny4Ste7QHp6OlOnTsXHx0dN27FjByYmJoSEhODi4sKUKVOoVasWO3fuBPLr3aFDB5o0aYKXl5da7x9++IFmzZrRoEGDcqmLPiIjIwkJCdFJO3PmDE2bNsXe3l79qV27NlC+73kJSiVITk4mOzsbX19fNc3X15fjx49Tt25dLl68yJ07dzh58iT169cH4Ouvv6ZXr15PbVfbpyU+Pp527drxzTff6KQnJiZib2+Ps7Ozmubr68vRo0eB/B18z5w5Q3Z2NqdOnVL/DsuXL+ftt9+usK0kgMaNGxMVFYWFhYWaZmBgQHZ2NomJibi5uen8Oz5Y7+TkZHJyckhKSsLR0RGATz/9lDFjxpRtRR6Rk5MTH3/8Mebm5iiKwpEjRzh8+DB+fn5Vut4FFi1aRJs2bWjTpo2alpiYiI+PD4aG+R+LBgYG+Pj4kJCQAOTX+9SpU2RlZXH69GkcHR1RFIVly5YxcuTIcqnH4zhz5gyNGjUq8lh5vuclKJVAo9FgbW2ts8xQnTp1yMnJ4dlnn1X/Y3/xxRdMmDCBjIwMYmJidJ5TVxavv/467733HjVq1NBJ12g01K1bVyfNzs6Oq1evAtC1a1csLS3x9PRk3759vPPOO1y9epX4+Hh69epVZuUvDVtbW1544QX1tVarZc2aNfj6+pZY79dee40rV67g4eGBRqMhMDCQY8eOkZOTQ+vWrcu0Ho+jY8eODBw4EG9vb7p161bl652QkEBsbCzBwcE66cXVOzU1FYChQ4cSFxeHl5cXdnZ2dO3aldjYWNzc3Cp0K6k4KSkpHD9+nF69evGvf/2LadOmqX3g5fmel6BUgoyMDExNTXXSCl5nZ2ezaNEi9u/fzy+//IKHhwdr1qzh1VdfJSMjg8GDB+Pv78/GjRvLo+hPTHF/g5ycHBRFwdTUlLVr1/LLL7+we/duGjRowLJly3jnnXc4d+4cffv2pVu3buzdu7ecaqC/uXPnkpSUxKRJk8jIyMDExETneEG9IT+gbdu2jV9++YWtW7dibW1NZGQkY8aMIT4+np49e9K7d28SExPLoyp6W7JkCUuWLOHkyZPMnTu3Stc7OzubsLAwpkyZgrW1tc6x4v6fZ2dnA9CwYUP27Nmj9r0YGRkRFRXFyJEjiY2NpWvXrgQGBvLXX3+VVXUeKj4+Hm9vb7y9vVm+fDnbtm1TX2/evJm///4brVbLvHnzmDVrFr///juTJk0Cyvc9X6m3Qy8LZmZm6n/KAgWvC1oUtra2ANy7d49NmzYRExPD/PnzcXd3Z8GCBbz88st06NCBevXqlW3hn5Di/gbm5uYYGPzfzrp16tQB4MqVKxw9epRp06bxzjvv0K9fP3x9fXnzzTeJi4vD3Ny8TMuvD0VRmD17NuvWreOTTz6hadOmmJmZqZ3cBQrqXcDAwECt99GjR9Fqtfj4+NCtWzdCQ0PJy8sjJCRE7ZeoiFq1agXk94UGBwfTr1+/Klvvzz77DGdnZ3r06FHo2MP+nxcwMjLCzs4OgJ07d9KqVSvs7OyYNm0a0dHRHDp0iFmzZumMZCwv7u7ubNmyBYDo6GhSU1OZPHkykN/q8ff3x8LCQn3UNm/ePPr168eVK1fK9T0vLaUSODg4cPv2bZ1/II1Gg6mpaaFvWtHR0QQEBGBhYUFCQgJ+fn7UrVuXRo0aceLEibIu+hPj4ODA9evXddKuX7+Ovb19kecvXbqU4cOHY2hoSEJCAm3btqVFixYYGxtXmG+R99NqtUyZMoX169ezaNEiunTpAuTXW6PR6Jz7sHpHRkYybtw40tLS+Ouvv/Dz86N9+/acPXu2wk0NSE1NZc+ePTppLi4u5OTkYG9vX2XrvW3bNvbt26e2GFatWqW2KB7l31ur1aqtpJSUFExMTGjevDnt2rWrMC1Ec3NznJ2dcXZ2xtraGgsLC/W1paUlVlZWOn0/Li4uQP7/jfJ8z0tQKoGrqysmJiZqZyfAkSNHaNmyJcbG/9fQvHv3Llu2bOGNN94A8r9JFsxjyM3NLdtCP2FeXl6kpqZy6dIlNe3IkSN4enoWOvfixYscP36c7t27A4X/DhVxUfp58+axbds2IiMj6dq1q5ru6elJcnIy6enpatqRI0eKXI7/yJEjGBoa4uXlpX6T1Gq16r99Rat3SkoK48aN05lfcvLkSWxtbfH19a2y9Y6Ojmb79u1s2bKFLVu28Nprr6ktCk9PTxISEtQyK4pCQkJCkfUueBTm6OiIgYEBWq0WgLy8PPX3iuzYsWN4e3ur/WWQP3rSyMgIZ2fncn3Py+O7EtSoUYM+ffoQHh7OvHnz0Gg0rF69moiICJ3zvvjiC/r370/NmjWB/Kbz9u3bsbKy4uzZs7i5uZVH8Z+IBg0a0L59e4KDg5k6dSonT55k27ZtfPXVV4XOXbJkCSNGjFBHMLm7u7N161Y8PT3RarU0bNiwjEv/cEePHuXLL79k0qRJuLu763xTbtOmDY6OjoSEhDBu3Dj27t1LYmIis2fPLnSdTz/9VH0eb21tTYMGDdi0aROQ3xdhZWVVNhXS03PPPYeLiwshISGEhIRw4cIFFixYwMiRI6t0vZ955hmd11ZWVmqLws7OjgULFhAREcHAgQPZsGEDd+/epWfPnjp58vLyWLlypTqJvmHDhmRnZ7N7924SExNLtYfQ0zZu3Did1y1atMDBwYGwsDCCg4NJS0tj2rRp9OvXD1tbW2xtbcvvPa+IEqWnpyvvvfee4uXlpbRr105ZtWqVzvHbt28rXbt2VdLT09W0y5cvK/369VPatGmjREdHl3WRH1uzZs2U/fv3q6+vX7+ujBgxQmnVqpXSqVMnZcuWLYXynD9/XunTp4+i1WrVtKSkJKV79+5Ku3btlF27dpVJ2R/FvHnzlGbNmhX5k5OTo/z111/KoEGDFHd3d6Vnz57KL7/8Uugahw4dUoYPH66TduDAAeXFF19UOnfurBw+fLisqvNILl++rIwYMULx9vZW2rdvryxbtkz9t6vK9b7fwoULlTfeeEN9nZiYqPTp00dxd3dX+vXrpxw/frxQnk2bNinh4eE6aVu3blXatm2r9OrVSzlz5sxTL/eTcOHCBWXEiBGKr6+v0qZNGyUiIkLJyspSj5fXe142+RNCCFFhSJ+SEEKICkOCkhBCiApDgpIQQogKQ4KSEEKICkOCkhBCiApDgpIQQogKQ4KSqNQe3Dnz+eefZ8qUKYXWbivpGgW77Hbu3FnvBXSvXr1K7969adWqVaHtPkqyadMmOnbs+Eh5HkVSUhLx8fFFHjt06BDNmzenU6dORR6fOHGizt+kNGJjYwst2VOcwYMHs2jRIiB/Y7mC9dkURWHdunWVYoUE8eRIUBKV3scff8y+ffv4+eefWb58OSdOnGDevHmlulZMTIzeG5StWrUKAwMDduzYwcsvv1yq+z0tY8aM4dy5cw89R6PRkJycrJOWnZ3Nvn37Huvely9fZsKECTrLFOkrLCyM6dOnA3D48GFmzJghQamakaAkKj1ra2vs7e1xcHDAy8uLIUOGsGPHjlJdy9bWVu8Vje/evUvTpk1p0KBBpdvQEaB169aFFmX99ddf1YU5S+tx5uPXqlWLWrVqPfZ1ROUlQUlUOQVbiRRQFIUlS5bQoUMHfH19efvtt4tdufj+x3cPyzd48GA2bdrE9u3bad68eZHXSkhIYODAgXh6euLl5cXbb7+tswAm5O+A6uPjQ/v27Qs9Nty0aRM9e/bEw8ODvn37cujQoSLLCf/3SC43N5fBgwdz+fJl3n///UJbYN/P39+/0H43u3fvVldJL6DValm5ciVdunTBw8ODN954Q6eF1bx5cz7++GPatm1LUFAQ/v7+QP5GcAXr4EVFReHv74+7uzvt27fnk08+KbJMBY/vLl26xJAhQwBo2bIl27Ztw9XVlWPHjqnn3r17l1atWnHy5Mli6ygqHwlKokq5efMm0dHRvPLKK2ramjVr2Lp1Kx988AEbNmzA2dmZoKAgMjIyHnqth+WLjIykR48edOvWrcjHXXfv3mXEiBG88MILbN++nVWrVnHp0iWWLl2qnpOamkpycjLffPMNkyZNIjw8XO3H2bRpEzNnzmT48OFs3bqVdu3aMXz4cK5cuVLi3yAyMpJ69eoREhJCWFhYsed17tyZkydPcu3aNSA/CO/du7dQUPrss89YvXo1oaGhbN68GScnJ4YNG6bTb7dnzx6+/vprwsLC1GD5zTff0LNnT7Zu3crq1auZNWsWsbGxjBkzhiVLlugEmAfVr1+fyMhIAH7++We6devGc889p7M/0+7du3F0dKRly5Yl/k1E5SFBSVR6I0eOxNvbGy8vL/z8/Dh16pTOdvQrV65k8uTJ+Pn54eLiwtSpUzEyMmLXrl0Pve7D8tnY2GBubo6pqWmRe8xkZGQwYsQIxowZQ4MGDfD19aVr166cOXNGPcfExIS5c+fStGlTAgIC6N27N+vXrwfyt1gYNGgQffr0oVGjRkyaNIkWLVoQHR1d4t/DxsYGIyMjLC0t1UdhRXFwcMDNzY2ffvoJyN/OwNraWmdVZ0VRWLNmDWPHjsXf3x8XFxciIiIwNjZm69at6nmBgYE0btyYpk2bqi3V2rVrY25ujoODA3PnzsXPzw8nJyf+/e9/Y29vz+nTp4stm5GRkbpfmZ2dHaampvTu3Vvn32zHjh2PvfW2qHhk6wpR6c2cORNvb28Abt26xbZt2wgMDGTjxo3UrVuXq1evMnnyZHVpfYCsrKyHbj527969UuUrYG9vT0BAAF988QVJSUmcOXOGP/74Aw8PD/UcJycnnUeNbm5ualBKSUlh1KhROtf08vLi7NmzJd77Ufj7+/Pjjz8yYMCAIh/d3bhxg7S0NJ19dExMTHB3dyclJUVNe3BLiPu1bduWxMREFixYQEpKCklJSWg0mkcewNCtWzfCw8NJTEykYcOGHDhwgODg4Ee6hqj4JCiJSq9u3bo4Ozurrz08PPj555/ZsGGD+sG+cOFCmjRpopPvYa2IvLy8UuUrkJqaSr9+/XB1daV9+/YMGDCAn376iSNHjqjn3B/sIL/vxsTEBKDIwRZ5eXlquYor76Py9/dn+fLlZGRksGfPHj788EOd42ZmZsXe7/57FncewMaNG5kzZw79+/ena9euBAcHq/1Fj8LKyoqOHTsSGxtLkyZNaNq06WMPyhAVjzy+E1VWXl4eVlZW2NnZodFo1K2gnZycWLhwIX/88UexeUubr8APP/yAhYUFK1as4M0336R169ZcvHhRZ0TZpUuXuHfvnvr62LFj6ods48aNC22rnZiYSKNGjYD81sr9fToXL17U74/ygObNm2Nvb8/69evJyMgo1D9Tq1Yt7O3tdcqSk5PDyZMn1bI8qGAH2gLr1q1j5MiRhIWF0adPH2rXrs2NGzdKHF334HUAevXqxd69e4mLi6tww/DFkyFBSVR6t27dQqPRoNFouHjxIh9//DHnz59Xt2cOCgrik08+Yffu3Zw/f14dUNC4ceOHXre0+SC/X+fatWvs37+fixcvEhUVxffff092drZ6Tk5ODiEhIfz555+sX7+eXbt2ERQUBMBbb73F119/zZYtWzh37hwLFiwgKSmJAQMGANCqVSvWr1/Pn3/+yW+//cbnn3+uc38LCwvOnj1LWlpaiWXt3LkzkZGRhR7dFRg6dCiLFy9mz549pKSkMG3aNLKysortzynYfTk5OZl79+5Ru3ZtDh48yNmzZzlx4gQTJ04kJydH52/xsOucOnWKrKwstaypqanExcUV2hFWVA3y+E5Uev/5z3/U383MzGjRogWRkZH4+PgA8Pbbb5ORkUF4eDi3b9/G1dWVVatW4eDg8NDrljYfQI8ePTh8+LBatlatWhEaGsqiRYvIzMwEwNXVFUdHRwIDA7GxsWHOnDm0atUKyO8/0Wg0fPrpp2g0GlxdXfn8889p2rSpWufQ0FD69u1Lo0aN+M9//sOECRPU+w8aNIj58+dz6dIldRRbcfz9/fnyyy+LDUpBQUHcvXuX6dOnc+fOHby8vIiOjqZOnTpFnl+7dm369u3LpEmT+O9//8uUKVMICwsjICCA2rVr06NHDywsLDh16tRDy9WsWTPat2/PwIEDWbRoES+99BLm5uZ07tyZv//+G0dHx4fmF5WT7DwrhKhUhgwZQvfu3Rk4cGB5F0U8BdJSEkJUCocOHSIxMZGTJ0+yePHi8i6OeEokKAkhKoVt27axa9cupk+fjpWVVXkXRzwl8vhOCCFEhSGj74QQQlQYEpSEEEJUGBKUhBBCVBgSlIQQQlQYEpSEEEJUGBKUhBBCVBj/D81ETRAnDRO+AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colorsmain2=sns.hls_palette(12)[4:11]\n",
    "\n",
    "figure_a7a = sns.scatterplot(x='bin_mort',y='bin_mort_worryus_mean', marker='v', data=figure_a7, s=90, color=colorsmain2[4])\n",
    "figure_a7a= sns.lineplot(x='bin_mort',y='bin_mort_worryus_mean',data=figure_a7,alpha=0.2, color=colorsmain2[4])\n",
    "figure_a7a.set_title('Belief about Mortality and\\nWorries About Aggregate Economic Situation', fontsize=16, fontweight='bold')\n",
    "figure_a7a.set_xlabel('Belief about Mortality', fontsize=14)\n",
    "figure_a7a.set_ylabel('Standardized Worry:\\nAggregate Economic Situation', fontsize=14)\n",
    "figure_a7a.set_xticklabels(['','0%','10%','20%','30%','40%','+50%'], fontsize=14)\n",
    "figure_a7a.set_yticklabels(['','-0.4','-0.2','0.0','0.2','0.4','0.6','0.8'], fontsize=14)\n",
    "figure_a7a.text(-10, 0.45, \"A\", fontsize=16, fontweight='bold')\n",
    "plt.savefig(\"output/figures/fig_a7a.png\",dpi=400,bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colorsmain2=sns.hls_palette(12)[4:11]\n",
    "\n",
    "figure_a7b = sns.scatterplot(x='bin_mort',y='bin_mort_worryper_mean', marker='v', data=figure_a7, s=90, color=colorsmain2[6])\n",
    "figure_a7b= sns.lineplot(x='bin_mort',y='bin_mort_worryper_mean',data=figure_a7,alpha=0.2, color=colorsmain2[6])\n",
    "figure_a7b.set_title('Belief about Mortality and\\nWorries About Personal Economic Situation', fontsize=16, fontweight='bold')\n",
    "figure_a7b.set_xlabel('Belief about Mortality', fontsize=14)\n",
    "figure_a7b.set_ylabel('Standardized Worry:\\nPersonal Economic Situation', fontsize=14)\n",
    "figure_a7b.set_xticklabels(['','0%','10%','20%','30%','40%','+50%'], fontsize=14)\n",
    "figure_a7b.set_yticklabels(['','-0.4','-0.2','0.0','0.2','0.4','0.6','0.8'], fontsize=14)\n",
    "figure_a7b.text(-10, 0.815, \"B\", fontsize=16, fontweight='bold')\n",
    "plt.savefig(\"output/figures/fig_a7b.png\",dpi=400,bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colorsmain2=sns.hls_palette(12)[4:11]\n",
    "\n",
    "figure_a7c = sns.scatterplot(x='bin_cont',y='bin_cont_worryus_mean', marker='s', data=figure_a7, s=50, color=colorsmain2[4])\n",
    "figure_a7c= sns.lineplot(x='bin_cont',y='bin_cont_worryus_mean',data=figure_a7,alpha=0.2, color=colorsmain2[4])\n",
    "figure_a7c.set_title('Belief about Contagiousness (R0) and\\nWorries About Aggregate Economic Situation', fontsize=16, fontweight='bold')\n",
    "figure_a7c.set_xlabel('Belief about Contagiousness (R0)', fontsize=14)\n",
    "figure_a7c.set_ylabel('Standardized Worry:\\nAggregate Economic Situation', fontsize=14)\n",
    "figure_a7c.set_xticklabels(['','0','10','20','30','40','+50'], fontsize=14)\n",
    "figure_a7c.set_yticklabels(['','-0.4','-0.2','0.0','0.2','0.4','0.6','0.8','1'], fontsize=14)\n",
    "figure_a7c.text(-10, 0.557, \"C\", fontsize=16, fontweight='bold')\n",
    "plt.savefig(\"output/figures/fig_a7c.png\",dpi=400,bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colorsmain2=sns.hls_palette(12)[4:11]\n",
    "\n",
    "figure_a7d = sns.scatterplot(x='bin_cont',y='bin_cont_worryper_mean', marker='s', data=figure_a7, s=50, color=colorsmain2[6])\n",
    "figure_a7d= sns.lineplot(x='bin_cont',y='bin_cont_worryper_mean',data=figure_a7,alpha=0.2, color=colorsmain2[6])\n",
    "figure_a7d.set_title('Belief about Contagiousness (R0) and\\nWorries About Personal Economic Situation', fontsize=16, fontweight='bold')\n",
    "figure_a7d.set_xlabel('Belief about Contagiousness (R0)', fontsize=14)\n",
    "figure_a7d.set_ylabel('Standardized Worry:\\nPersonal Economic Situation', fontsize=14)\n",
    "figure_a7d.set_xticklabels(['','0','10','20','30','40','+50'], fontsize=14)\n",
    "figure_a7d.set_yticklabels(['','-0.4','-0.2','0.0','0.2','0.4','0.6'], fontsize=14)\n",
    "figure_a7d.text(-10, 0.65, \"D\", fontsize=16, fontweight='bold')\n",
    "plt.savefig(\"output/figures/fig_a7d.png\",dpi=400,bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Figure A.8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "clusteringorig = pd.read_stata('data/survey2_clean.dta')\n",
    "clustering = pd.read_stata('data/survey2_clean.dta')\n",
    "\n",
    "clustering=clustering[['day5','day10','day20']]\n",
    "clustering['day5']=np.log(clustering['day5'])\n",
    "clustering['day10']=np.log(clustering['day10'])\n",
    "clustering['day20']=np.log(clustering['day20'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "kmeans = KMeans(n_clusters=3, random_state=0).fit(clustering)\n",
    "clustering['indexcluster']=kmeans.fit_predict(clustering)\n",
    "clustering['day5']=np.exp(clustering['day5'])\n",
    "clustering['day10']=np.exp(clustering['day10'])\n",
    "clustering['day20']=np.exp(clustering['day20'])\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "clusteringorig['indexcluster']=clustering['indexcluster']\n",
    "clusteringorig.to_csv('data/finalcluster.csv')\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "medclustering=clustering.groupby('indexcluster').median()\n",
    "\n",
    "medclustering_norm= np.array([[(medclustering.iloc[0,0]), (medclustering.iloc[1,0]), (medclustering.iloc[2,0])],\n",
    "          [(medclustering.iloc[0,1]), (medclustering.iloc[1,1]), (medclustering.iloc[2,1])],\n",
    "           [(medclustering.iloc[0,2]), (medclustering.iloc[1,2]), (medclustering.iloc[2,2])]])\n",
    "\n",
    "medclustering_norm=pd.DataFrame(medclustering_norm)\n",
    "medclustering_norm.columns=['group0','group1','group2']\n",
    "medclustering_norm['runner']=medclustering_norm.index\n",
    "medclustering_norm.iloc[0,3]=5\n",
    "medclustering_norm.iloc[1,3]=10\n",
    "medclustering_norm.iloc[2,3]=20\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colorsmain2=sns.hls_palette(12)[4:11]\n",
    "colorsmain=sns.hls_palette(12)[0:4]\n",
    "\n",
    "\n",
    "figure_4ab_rawnp= figure_4ab_rawnp[figure_4ab_rawnp['day']>=5]\n",
    "fig, ax = plt.subplots(figsize=(8,4))\n",
    "ax.set( yscale=\"log\")\n",
    "\n",
    "ax.set_ylim(5,1500000)\n",
    "\n",
    "figser = sns.scatterplot(x='runner',y='group0',s=65,data=medclustering_norm, ax=ax, zorder=4, marker='v', color = colorsmain[0], alpha= 1, label='Exponential Mental Model: Cluster Center')\n",
    "figser = sns.scatterplot(x='runner',y='group1',s=50, data=medclustering_norm, ax=ax, zorder=1, color = colorsmain2[4], alpha= 1, label='Linear Mental Model: Cluster Center')\n",
    "figser = sns.scatterplot(x='runner',y='group2',s=40,data=medclustering_norm, ax=ax, zorder=3, marker='s', color = colorsmain2[6], alpha= 1, label='Other Non-linear Mental Model: Cluster Center')\n",
    "\n",
    "figser = sns.lineplot(x='day',y='runner', data=figure_4ab_rawnp, zorder=1, ax=ax,  color = colorsmain2[3], alpha= 1, label='Correct Prediction')\n",
    "figser = sns.lineplot(x='day',y='linearpred', data=figure_4ab_rawnp, zorder=1, ax=ax,  color = colorsmain2[0], alpha= 1, label='Incorrect Linear Model')\n",
    "figser.lines[1].set_linestyle(\"--\")\n",
    "\n",
    "figser.set_xticks([5,10,20])\n",
    "figser.set_yticks([10,100,1000,10000,100000,1000000])\n",
    "figser.set_yticklabels(['10', '100', '1000', '10,000', '100,000', '1,000,000'], fontsize=14)\n",
    "figser.set_xticklabels(['5','10','20'], fontsize=14)\n",
    "figser.legend(fontsize=12, loc='upper left')\n",
    "figser.set_xlabel('Day', fontsize=14)\n",
    "figser.set_ylabel('Infected per Day\\n(Logarithmic Scale)', fontsize=14)\n",
    "figser.text(4, 5850000, \"A\", fontsize=16, fontweight='bold')\n",
    "\n",
    "figser.set_title('Types of Mental Models of Infectious Disease Spread\\n(k-means clustering)', fontsize=16, fontweight='bold')\n",
    "\n",
    "\n",
    "\n",
    "plt.show()\n",
    "\n",
    "fig.savefig(\"output/figures/fig_a8a.png\",dpi=400,bbox_inches='tight')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams.update({'font.size': 12.5})\n",
    "fig1, ax1 = plt.subplots(figsize=(6,5))\n",
    "canner= ax1.pie([196/(652+158+196),652/(652+158+196),158/(652+158+196)], labels=['Other Non-Linear Mental Model','Roughly Linear\\nMental Model','Roughly\\nExponential\\nMental Model'], autopct='%1.1f%%',\n",
    "        shadow=False, startangle=240,  colors=[colorsmain2[6],colorsmain2[4],colorsmain[0]])\n",
    "ax1.axis('equal')  # Equal aspect ratio ensures that pie is drawn as a circle.\n",
    "\n",
    "#ax1.canner.set_ylabel('Infected per Day\\n(Logarithmic Scale)', fontsize=14)\n",
    "#fig1.text(4, 8000000, \"A\", fontsize=16, fontweight='bold')\n",
    "ax1.set_title(\"B       Distribution of Mental Models\\n\", fontsize='16', fontweight='bold')\n",
    "plt.show()\n",
    "\n",
    "fig1.savefig(\"output/figures/fig_a8b.png\",dpi=400,bbox_inches='tight')\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "z_impact_1_nocont = pd.read_stata('output/figures/raw/z_impact_1_nocont.dta').loc[:0]\n",
    "z_impact_1_nocont['se']=(z_impact_1_nocont['max95']-z_impact_1_nocont['min95'])/2\n",
    "z_impact_1_nocont['counter']=z_impact_1_nocont.index\n",
    "\n",
    "z_impact_2_nocont = pd.read_stata('output/figures/raw/z_impact_2_nocont.dta').loc[:0]\n",
    "z_impact_2_nocont['se']=(z_impact_2_nocont['max95']-z_impact_2_nocont['min95'])/2\n",
    "z_impact_2_nocont['counter']=z_impact_2_nocont.index\n",
    "\n",
    "z_worry_corona_econ_nocont = pd.read_stata('output/figures/raw/z_worry_corona_econ_nocont.dta').loc[:0]\n",
    "z_worry_corona_econ_nocont['se']=(z_worry_corona_econ_nocont['max95']-z_worry_corona_econ_nocont['min95'])/2\n",
    "z_worry_corona_econ_nocont['counter']=z_worry_corona_econ_nocont.index\n",
    "\n",
    "z_worry_perecon_nocont = pd.read_stata('output/figures/raw/z_worry_perecon_nocont.dta').loc[:0]\n",
    "z_worry_perecon_nocont['se']=(z_worry_perecon_nocont['max95']-z_worry_perecon_nocont['min95'])/2\n",
    "z_worry_perecon_nocont['counter']=z_worry_perecon_nocont.index\n",
    "\n",
    "alldata = pd.concat((z_impact_1_nocont,z_impact_2_nocont,z_worry_corona_econ_nocont,z_worry_perecon_nocont))\n",
    "alldatacounter=pd.DataFrame([[0],[3],[6],[9]])\n",
    "alldatacounter.columns=['countrun']\n",
    "alldata.reset_index(inplace=True)\n",
    "alldata=pd.concat([alldata,alldatacounter], axis=1)\n",
    "\n",
    "indexer = np.array(alldata['countrun'])\n",
    "outcome =np.array(alldata['estimate'])\n",
    "se =np.array(alldata['se'])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lS5V0uu+gmvrp0mRkZCjH0XVfZWVlce/evULrkJubS0pKCl5eXixfvpyIiAhCQ0OVlskdO3YUaJXIP15N933SarV63znI6zbTUfs9W716NZ6enrzxxhtKd0/+90J3jPzf6fzlEAVVixaJBg0a0KBBA65du8aRI0eUKBPyPuQzZ87k8uXLTJ06lYkTJ1ZiSasGNzc3Nm7cyL59+5Tnj8v/JYuKilL+ET569EgZUJWfLgAAVN9iO2PGDM6cOcOYMWOYOnUqZmZmeHl5lbk1AqBt27YYGBjw22+/kZubS7NmzQodH1CnTh0uX75coItGN4dGnTp1qFGjBgYGBmi1Wm7evKl0aTwelOr+KTo5OSmDxnJycsjOzsbMzKzIstatW1fpTomOjiY6OppNmzaxfv16OnbsSKdOnQqk0R2ruHJXlNKeU13Zhg8fzrx584C87hATExPljg7ducgfXN27d4+DBw/StGlTWrVqpfrzU6dOHa5fv673XuTm5iq/KnXvhS6//Bez1NTUAvn5+Pjg4eHB7du3iY6OZt++fURERDBjxgyOHTumqkz56VrEnJycirzds6TPQP5utKK+h3fv3mXatGloNBr+85//0LVrV/78809eeeWVUtVPd/66du3K6tWrlffMwMCgyLueMjMzadeuHenp6axatYqXX34ZAwMDWrZsybRp0zh69KjStZP/s5n/nOmCFQMDA2rUqKGXf/5xUmq+Z0eOHGHlypXUrl2bvXv30qRJE7Zu3aqMc4LCP4OFPRf/VS1aJAClH3XTpk3s2LGD7OxsMjMzWbx4MZcuXSI3N1cvwKjOdIGD7tdlYb/YGzRowHPPPQfkjRPQarVcuHABDw8POnfurAxUUkt3UdKNvAb4448/gLx/pmZmZhw4cED5p1LWFolatWrh6OiopC8sSAKUftnvv/9euRV29+7dytiIrl27YmlpSYsWLQD46quvyMjI4O7du3q/cuC/wcuFCxeUrofvv/8eV1dX3njjjUKbtf/66y+8vb2VbpeuXbvi7++v/CrS/ZIvqtynT5/mhx9+APLuvNGNm+jWrZuat+mJ0H2O9u3bx9WrV8nNzWXOnDm4urqyaNEiIK85GeCXX35RxsF88803zJkzh+nTp2NgYKDXlZD/8/I43Xuxbt06rl27hlarJTg4mNu3b2NiYqL8ItZdOE6dOgXk/eLWBdE669evV+4aqlmzJgMHDmTIkCFA3i/h0k5od/DgQXbt2gXAG2+8Ueg+aj4Dar6HV69eVcbU1K9fH61Wq3c3Rm5urqr66c5fRESE0hW4atUqXF1di5z/xdTUVOkWXbFiBZcvXwbyAp2QkBAg7/v9+B1zGzZs4M6dO2RmZvLNN98A0KJFiwIDHvMHlWq+Z7rB0yYmJtSrV4+HDx/y008/Ke8D/Pd/QlxcnDKOa+vWrdKtUYxq0SIBebd9njp1ip9++ok5c+bwwQcfkJubq/wKGTduHG3atKnkUlYNtWvXxsHBQQkGCrvYGhkZ4efnx/z581m7di1btmxBo9GQnZ1N06ZNcXBwKNUxdeMpNm7cyLZt2zhy5AguLi4cP36coKAgVq9erdeMW555J9zc3JSLVFEjzYcPH84PP/xAcnIyvr6+WFlZKcccNmyYcsva5MmTmTx5MkePHsXd3R2tVlugmbpJkyb06tWLPXv24Ofnh42NjVKXl156qdA+9oYNG9K6dWsOHDjAyJEjqVmzJg8fPiQrK4s6deooF8nHvfjii/Tp04effvqJGTNmEBgYqJS7VatWBfqO/0n9+vXj66+/5urVq7z88stYWVmRmpqKiYmJ8uu4f//+hISEkJycTO/evbG2tlZaByZNmgTod1V06tSJgQMHFjpY1N/fn/DwcK5cuUK3bt2wsLBQWrPeeecdZeB1+/bt2b9/P9HR0XTu3JnMzMwCLQTdunVj9erVnDt3jg4dOmBtba0Ec3369NFrnSnMyZMnlRakR48eKc3nHh4eRQYSaj4Dar6HDx8+pEaNGjx48IA33ngDMzMzve/Pw4cPVdXP29sbV1dXTp48yYABA5Q8gWLvWpk7dy6vv/46ly9fpkePHtja2uoFgO+9916BVqYbN27QqVMnTExMyMjIwMDAoMTJ6tR8z1xcXJT8vby8yMnJUa4BunPSuXNnWrduTXx8PKNHj8bS0pK0tDS9O5GEvmrTImFgYMDy5ctZtGgRrVu3Vm4Hc3V1ZcWKFbz33nuVXcQqRRc8NG7cWK8fMr/Bgwfz4Ycf0qxZM7KysqhZsybDhw8v9k6EoowaNQpnZ2eMjY2pW7cu6enpLF68GC8vLywtLTEzM2PgwIG8/vrrACXeu66mblB4awvkDTrdunUrw4cPp379+mRmZuLg4MC8efOUZnnIu8AsX76cRo0aYWBggKenJ//5z38K5LdkyRLGjx/P888/T1paGo0bN2bevHmMHz++yHKuWLECPz8/GjVqRFpaGjVr1qRHjx5s3Lix2DlPli1bxuzZs2natClZWVnUrVuXESNGsH79+mK7Up40c3NzQkJC6NOnDzVq1CA7O5s2bdqwZs0a5ZxYWFiwadMm+vXrh42NDdnZ2bRo0YLly5fj6+sL5N155efnp4zRKOr2z+eee47Q0FD69+9PnTp1yMrKonnz5qxYsUK5EwRg0KBBjBo1ChsbG9LS0ujevTsffvihXl52dnaEhITw8ssvY2trS3p6Oo0bN+btt99WbgUuTv5++8zMTJo0acLUqVP5+uuvix2sqeYzUNL30NraWpmq29jYmDp16jBjxgyaNWsG5H2X1NZvzZo1DB48mLp166LRaHBycuLjjz8uNpBo0qQJO3fupG/fvtjb25OWloa1tTWenp6sWbNGGbiZ38KFC/H29iY3N5dGjRqxfPlyvTk9ilLS98zd3Z2AgACef/55DAwMaNq0KUuXLsXQ0JA//viDO3fuYGRkxJo1a+jZsycWFhbY2NgQEBCg6vjVlYFWbmMQQghRBegmo9u4cSMeHh6VXBqhVrVpkRBCCCFExZNAQgghhBBlJl0bQgghhCgzaZEQQgghRJlJICGEEEKIMpNAQoinQGFLXT+ua9euyjLMhf2pXSr8aaTm/SnJq6++qtzOmF/+9zX/pER79+7FyckJFxeXUk9IVRq6WzeHDx/+xI4hRHlIICHE/xgbGxvq1atX4K+0S4U/TWrWrFnskuJq6Fag1c1eCnmLPeWfrjkmJkZ5rNuvdevWJU5IVR7W1tbUq1dPb20TIaqSajOzpRDVxaxZs+jfv39lF+Mf9dlnn5U7D1dXV7Zu3crvv/+OVqvFwMBAWZVUJyYmRllxUhdIPL4ybkUbNWpUkUulC1EVSIuEEBUgNTWVefPm4e3tjbOzMx07dmTOnDl603rrmsfPnTvHlClTcHV1xcvLq8BMmDdu3GDSpEm4uLjQuXNnvvvuuwov7507d5g9ezbt27fHxcUFX19ffvzxxwJ1+vDDD/Hx8cHZ2ZmePXuyYcMGvVVbZ82ahZOTE8HBwaxbt47OnTvTpk0bJk6cWGDxslOnTjF27Fjc3d1xdXVlzJgxer/+//rrL5ycnHB1dSUhIYFBgwbRunVr+vfvz4ULF4iOjqZv3760bt2aN954Q1k3AQrv2lBTx/x0AUFqaqqyPLwukNDNvKlbaCsnJ4eEhARAf3ZUtXVs1aoVO3bswMvLC29vby5fvqx0oXz77bf07t0bd3d3du/eXWjXxqNHjwgMDKR9+/a0bt2awYMHF5jtNTQ0FF9fX1xdXWnXrh3Dhw/nxIkTRdZfiLKSFgkhKsCsWbM4cOAABgYG2NjYcOfOHXbs2IGhoaGyIJXOpEmTuHPnDrm5udy+fZvPPvuMli1b4uPjQ2ZmJiNHjlTWOTE0NGTBggUFFisqj7S0NIYNG0ZycjIGBgZYW1tz7tw53nvvPQwNDenduzcZGRkMGTJEuVhbWVlx6dIlFi9eTHJycoFpobds2cLff/+NhYUFGRkZHDp0CFNTU6Wl4Pjx44wdO5asrCxlpchjx44RHR3NunXr9NY80b0H2dnZaDQazp49y/jx47l79y5GRkZkZmZy+vRppk2bxt69e8tcx8c1atSI2rVrk5KSwpkzZ2jSpIkSSPj7+zNmzBiSkpK4e/cuN2/eJD09HUNDQ2X9htLUMSsri/fffx8LCwueeeYZGjVqpLy2ZMkSTExMyMzMxMXFhT///FOvnFqtlkmTJnH8+HGMjY2xsrLi5MmTjB07lvXr1+Pu7s6BAweU9UdsbW3RaDRER0czbtw4fvzxR+zs7Er4lAihnrRICFFOmZmZGBkZ0aRJE3755ReioqKYP38+kLcK5+MaNGhAZGQkR44cUdYx0S1DfeDAAZKTkzE0NGT9+vXExcWxZMkS0tPTVZdn9uzZhQ62TExMBGDnzp0kJydja2tLWFgYMTExytoTO3bsACAkJIQLFy5gY2PDrl27iIuLU5az/u677/R+ZUPer/9t27YRGxurLEKlWzkR8tZOyMrKwsfHhxMnTnDixAklcHo8KMnOzqZHjx7ExMQox7x+/To9e/bkxIkTBAUFAZCUlMS9e/cKfQ/U1LEwuqDgzJkzXL58mZs3b/LMM8/g4eFB8+bN0Wq1xMbGKvVv2rQpzzzzTKnrqNVq6du3LzExMezYsUNv0apGjRoRGRnJ0aNHsbe3L1DGo0ePcvz4cezt7Tl69CjR0dEsWLCA7OxsPv/8cyAvqIG8lpqoqCiioqLo0aMHXbp0kYWnRIWTFgkhykn3yzs3N5cLFy6wefNmfv75ZwBltcn8Bg8ejJWVFVZWVrRt25awsDBlNUZd4NGuXTtlWfv+/fuzatUq1csY29jYYG5uXmC77ldydHQ0AD169FB+Cfv7+zNu3Dhq1aoFwKFDhwAYOHAgzZs3B/JW7/z222+Jj48nPDyc1q1bK3m7u7srz7t168a2bduUOl25coWLFy8CMGPGDKV1ZcaMGRw+fJiLFy9y5coVDA3/+7tm4MCBGBoa6q3IO3jwYIyMjPSO++jRowKrraqtY2Hatm3LwYMHiY+PV1oj3N3dMTQ0xMPDg99//53Y2FhlRVJdt0ZZ6qgba/F4ebp37465uXmh5zB/3W7duqUseKVbAjs2NpasrCxlddqtW7dy7do1PD09mTJlCv/617+KrLsQZSWBhBAV4Pvvv+fTTz/l9u3b1KlTR2k6Lmzi2Pyj73UXHN1+uqWM69Spo5fm2WefVR1IlDTYUjduI/8FWBfY6KSkpAD6S3brnsfHxyuvF1Yn3QVQV6f8++bPL//jO3fu8OyzzyrPdWXTBT/w3wtu/iW+i5qYV00dC6O7c+PcuXNKK5Fu8SgPDw/Wrl3LiRMnlKWndeMqylLHolbVLWr743XLyMggIyND77WsrCzu3buHr68vN27cYMOGDYSHhxMeHg7k3WGycuVKGjRoUOwxhCgN6doQopwuXLhAQEAA9+/fZ+vWrURERODv71/k/vmXjc7fpA0ot2jeunVLb/vjz8ujsGPcu3ePHTt2EB8fj1arVQKZ/Lc+Qt5gQSgY6OS//fHxOuXfV5f+8cePXzzz/3IvbltR1NSxMK1atVLGJxw8eBCA9u3bA3kDLo2NjUlMTFRaH3SBRFnqWNSS7kW1ROjolg/v2rUr58+f5/z585w5c4bff/+d8+fPK8cZPXo0Bw8e5Pvvv2fmzJk4OjoSHx/P8uXLi81fiNKSQEKIcrp48SJarRZDQ0Oee+45MjMz2blzJ/DfJme1dHcHxMXFKWMMtm7dqro1Qo127doB8Msvv5CUlATAN998w5w5c5g+fToGBgZ4eXkBeS0t586dA2D37t3K2ICuXbuqPp6dnZ3SvbB8+XLS09PJyMhQLmjNmjWr8MF/aupYGFNTU5ydnYG8OzNsbW2Vpa2trKxwdnYmOzubnJwc6tWrp/yyL0sdiypDUdt1dN0pERERnDlzBsibtMrV1VUJYHV3BS1atIgWLVowatQoOnXqBMDdu3eLzV+I0pKuDSHKydnZGRMTEzIyMnjppZcwNjZWBkfquirU6ty5M61btyY+Pp7Ro0djaWlJWloadevWVT1ILigoiJUrVxbY3rRpU9auXUv//v0JCQkhOTmZ3r17Y21trfT5T5pl1NZ0AAAgAElEQVQ0CcgbpPfDDz+QnJyMr68vVlZWypiHYcOGKX3was2dOxc/Pz/Cw8OVi3xmZiZmZmYFBiJWBDV1LIqrqysnT54E8gKS/Bd2Dw8PTp06Bejf9gn/XB29vb2VMg4YMIAaNWrw4MEDAHr16gXkzdK5f/9+tm/fzt69ezE0NFQ+i76+vhVWFiFAWiSEKDd7e3uWLVtG48aNMTIyomHDhixevBgbGxtSU1P5/fffVedlZGTEmjVr6NmzJxYWFtjY2BAQEFCqFoD79+9z8+bNAn937twB8sZlbNq0iX79+mFjY0N2djYtWrRg+fLlykXG2tqarVu3Mnz4cOrXr09mZiYODg7MmzePefPmle4NIi9A2rRpE97e3piZmWFsbIyXlxfffvttgQtyRVBTx6Lkn2BKNz6isOePT0T1T9ZxzZo1DB48mLp166LRaJSpvXWBRPfu3Vm9ejVt27ZVup2cnZ1Zvnw5r732WoWWRQhZRlwIIYQQZSYtEkIIIYQoMwkkhBBCCFFmEkgIIYQQoswkkBBCCCFEmT2x2z87d+5c4v3QOocPH35SxagQp06dKnLymMqi0WiqXJnEkyPnu3qR8139VLVzrtFolLVnSlLqQEKr1RaYFa6wGeemTZtW2qyrLDMzM2W9gaoiMTGxypVJPDlyvqsXOd/VT1U757pF/tRQFUgkJiYSEBDA+fPnyc7OVnXAwu5Vzs3N5dq1a9SvX5/c3Fy9OfOFEEII8fRRFUjMnj0bW1tbVq5cqSyZWxrZ2dmsWLGCTZs2kZOTQ1hYGMuXL8fY2JiFCxdiaWlZ6jyFEEIIUflUBRKXLl3ixx9/VOaSL61PP/2UY8eOsW7dOsaPHw/kTcEbEBBAUFAQH3zwQZnyFUIIIUTlUnXXhrOzs7LaXVns2bOHBQsW4O7urmxzc3Nj8eLF/PLLL2XOVwghhBCVq8gWie3btyuP27Rpw6xZsxg8eDB2dnYFBlcOGDCg2IPcvXtXWfo2PwsLCzIyMkpbZiGEEEJUEUUGEl988YXe82eeeYY9e/YU2M/AwKDEQMLT05OvvvqKRYsWKdtSU1P5+OOPad++fWnLLIQQQogqoshAIjw8XFUG//d//1fiPvPnz2fy5Ml4enqi0WiYMGEC169fx87OjtWrV6svrRBCCCGqFFWDLZs3b05ERAS1atXS2/7XX3/x6quvcvLkyWLT16tXj+3btxMZGcmlS5fIzs7GwcEBLy+vQuegKIvTp08zf/58Ll++TIsWLQgKCsLe3l5vn9TUVN5//30iIiIwNDSkb9++zJgxQ1lmVwghhBClU+QVdOfOnco4Ca1Wi5+fX4EL7u3bt3n22WdVH8zT0xNPT88yFrVoGo2GyZMnM3PmTHr06EFwcDCzZs1i8+bNevsFBQVhaGjIr7/+SkZGBm+99RY7d+5k4MCBFV4mISqKj48PaWlpREdHV3ZRhBCigCIDiR49enDt2jUAYmNjadu2LVZWVnr7WFlZ8fLLLxea/oUXXlA9RXZpZtAqzPHjx7G1teXVV18FwM/Pjw0bNpCUlESTJk2U/RYsWIBWq8XY2Ji//voLjUaDra1tuY4thBBCVGdFBhKWlpb4+/sD0KBBA3r37l2qmSi/+eYb5fHZs2dZv349fn5+ODs7Y2xsTEJCAqtXr2b48OHlKH6e5ORkHB0dledGRkbY2dkVCCRMTEwAmDJlCmFhYXh5edGlS5dyH18IIYSoroq9/bNv376YmpqSk5PD7t27i8yksLs28ndhfPDBByxdupSOHTsq21q2bImdnR1z585l1KhRZS0/AGlpaZibm+tts7CwID09vdD9ly1bRkBAABMnTuTTTz/l3XffLdfxhRBCiOqq2Ns/u3XrhqmpaYFbQfNTc/vnzZs3i5xH4v79+6UobuEKm48iPT29QFeMjpmZGXXr1mX8+PF8/vnnJQYSGo2m3N0vFS0jI6PKlUk8GWlpaeTm5sr5rkbk+139PM3nXNXtn/v37y/XnQ0+Pj7MmTOHOXPm4OTkhFar5cyZM3z44Yf07NmzzPnqODo6snPnTuV5Tk4OV65cwcHBQW+/CRMm8Oabb+Lj4wNAZmamqrVDZPVPUZksLS1JS0uT812NyPe7+qlq57w0QY2qey/d3d2ZNGkSW7ZsUQZglsYHH3yAg4MDb731Fu3atcPDw4MJEybg6upKQEBAqfN7nIeHBykpKezatYvMzExWr16Nvb293vgIgBYtWvDll19y//59rl+/TnBwML6+vuU+vhBCCFFdqWpmCAkJITIykrCwMJYsWcLzzz9Pp06d8Pb2pl27diUOwrS2tmbFihUEBgaSnJwMgIODA9bW1uWvAWBubs6aNWuYP38+gYGBNG/enJUrVwLQu3dvJkyYQN++ffHz8+P+/fu88sormJmZMWTIEN54440KKYMQQghRHRlotVptaRJoNBpiYmIIDQ1l3759mJmZlTghFcCNGzcICQkhKSmJ3NxcHB0dGThwYIFWg6qoqjU5QdUsk3gyZB6J6ke+39VPVTvnpSmP6oEPFy9eJC4ujtjYWGJjY7lx4wbOzs64ubmVmDY6Oprx48fzwgsv4OLiQk5ODnFxcWzevJlvvvmGF198UW0xhBBCCFGFqAok2rVrx8OHD3F3d8fd3Z1+/frh4uKChYWFqoMsXbqUESNG8M477+htX7FiBcuWLWPLli2lL7kQQgghKp2qQMLX15eYmBjOnDmjN1ulq6trgfkbCnPx4kU+/vjjAttff/11Nm7cWIriCiGEEKIqURVIzJ07F8hb9ComJobo6GhWrlzJhQsXaNasGVu3bi02fcOGDTl9+jSNGjXS237q1KlC55cQQgghxNOhVJNDaLVacnNzycnJISMjg5ycHMzMzEpMN2bMGObPn8/Fixdp3bo1kLda57fffiuzSgohRD4yuFY8bVQFEkFBQURFRXH+/Hns7Ozo2LEjU6dOpX379lhaWpaYvn///gBs2rSJDRs2YG5ujoODA0FBQUUu+iWEEEKIqk9VIHHlyhUGDhyIt7c3dnZ2ZTpQ//79lYBCCCGEEP8bVAUSxa21UZTt27er3rektTqEEEIIUTWVfQGNEsybNw9DQ0Oee+45DAwMKGreKzWLfgkhhBCianpigcTYsWM5ePAgjx49onv37rz00ku0a9cOIyOjJ3VIIYQQQvzDVC3aVRbvvfce+/btY8OGDdSrV49PP/2Ujh07MnPmTA4cOFBg2W8hhBBCPH1UBxIRERGkpKQAsHPnTsaPH89nn31GVlZWsekcHBwYP348W7Zs4ccff6Rt27Zs27aNzp074+/vz65du8pXAyGEEEJUGlWBRHBwMJMnT+bq1avExsYyb948nn32Wfbu3cvSpUtVH6xu3boMGjSI999/n9GjRxMZGcns2bPLXHghhBBCVC5VgcSWLVtYuXIlLi4u/PDDD7i6urJo0SI++ugj9u7dq+pA8fHxrFy5kr59+/LKK68QGRnJ1KlTOXDgQLkqIIQQQojKo2qwZUpKCk5OTgAcPnyYt956CwBbW9sixzpoNBoiIiIIDw/n8OHDpKWl4e3tzdixY/Hx8aFGjRoVVAUhhBBCVBZVgUSTJk0IDQ2ldu3a3Lp1i27dupGZmcnXX39d5HrlHh4e5OTk4O7ujp+fH+3bt8fU1BSA+/fvc//+fWXfsk5yJYQQQojKpSqQmDlzJlOmTOH+/ftMmDCBxo0bExgYSHh4OGvWrCk0ja6l4rfffuO3337TWzVUq9Uqc0sYGBiQmJhYAVWpPmQufiGEEFWFqkDCw8ODyMhIUlNTsbGxAWDy5MnMmTMHExOTQtMcPHiw4kophBBCiCqpyEAiMjJSdSaenp4FtjVo0KBsJRJCCCHEU6PIQGLUqFGqMpCuCSGEEKL6KjKQOHfu3D9ZDiGEEEI8hVSvtZGVlcWtW7fIzc0F8gZMZmZmkpCQQN++fZ9YAYUQQghRdakKJPbv309AQAAPHjwo8Fq9evUKDSR0AYcahoZPbMkPIYQQQjxBqgKJjz/+mB49ejBy5EjefPNNgoODuXfvHgsXLsTPz6/QNC1atNC75bM4MsZCCCGEeDqpCiT++usvgoODsbe3x9nZmdu3b/PSSy9hZGREUFAQr7/+eoE0GzdurPDCCiGEEKJqURVI1KhRg/T0dCBvNc/ExEReeuklHBwc+OuvvwpN065dO1UFuHHjhsqiCiGEEKKqURVIdOnShcDAQAIDA/Hw8GDp0qV07tyZsLAw6tWrV2L6pKQkPvroI/74448CgzXv3bsnXRtCCCHEU0rVKMc5c+bg6OjI2bNneemll3BxcWHQoEF89913zJw5s8T0AQEByvTad+/eZdy4cfTu3Zv09HSWLFlS7koIIYQQonKoapGwsrJi0aJFyvPly5ezYMECzM3NMTYuOYvff/+drVu30rx5c3bt2oWjoyNDhw7FwcGBbdu20a9fv7LXQAghhBCVRlUgsX379mJfHzBgQPEHMTbmmWeeAcDR0ZHExEQ8PT3p0KEDS5cuVVlUIYQQQlQ1qgKJL774Qu95Tk4OKSkpGBsb07Zt2xIDiRdffJG1a9cyY8YMnJ2d+fHHHxk5ciSnT5/GzMys7KUXQgghRKVSFUiEh4cX2JaWlsb8+fNp0qRJielnzZrFpEmT2Lx5M2+++SYbN27Ezc2NjIwMJk2aVPpSCyGEEKJKUD1F9uMsLS3x9/dn8ODBTJw4sdh9mzRpQlhYGOnp6VhYWLBjxw6io6OxtbXFxcWlrEUQQgghRCUr19zUp0+fVjUVdrdu3bh37x4WFhZAXhDi4+ND/fr1C12CvKxl6devHy4uLgwZMoQrV64U2Cc1NZXp06fTvn17OnbsyKJFi8jMzKyQ4wshhBDVkaoWiSFDhhSY7vrhw4dcuHCBMWPGFJpm7969HD58GIBr164xf/78AuMh/v77b1V3fZREo9EwefJkZs6cSY8ePQgODmbWrFls3rxZb7+PPvoIjUbDwYMH0Wg0+Pn5sW7duhJbVIQQQghROFVX8Q4dOhTYZmpqyqxZs4psUWjfvj1Hjx5VnhsaGmJkZKS3zwsvvKBqHoqSHD9+HFtbW1599VUA/Pz82LBhA0lJSXpjOLRaLZMmTcLKygorKyv69OlDREREuY8vhBBCVFeqAgl/f/9SZ1yrVi1lsqkGDRowevRoLC0tS52PGsnJyTg6OirPjYyMsLOzKxBI5J8LA+DIkSO0aNHiiZRJCCGEqA6KDCRmz56tOpOSZqf09/fnwYMHxMTEkJ2djVar1Xu9vOMk0tLSMDc319tmYWGhrA9SmGXLlnHp0iWWLVtWYv4ajaZKTeOdlpZGbm5ulSqTeHLkfFcvcr6rp4yMjKf2nBcZSGRnZyuPNRoN+/fvp2XLljg7O2NiYkJCQgKnTp3C19e3xIPs3LmTwMBAMjIyCrxmYGBQ7jfPwsKiQN7p6elYWVkV2Dc7O5v58+cTFRXF+vXrqVmzZon5m5mZ0bx583KVsSJZWlqSlpZWpcoknhw539WLnO/qKTExsUqd89Jcl4sMJPL/Un/nnXfw9/cv0MURHBzMiRMnSjzIl19+yYABA5g2bRrW1taqC6eWo6MjO3fuVJ7n5ORw5coVHBwc9PbLzMxk8uTJ3Lt3j61bt1K7du0KL4sQQghRnai6/TM8PJw+ffoU2N69e3dVgcStW7cYNmzYEwkiADw8PEhJSWHXrl1kZmayevVq7O3tC0yWtXDhQh48eMDGjRsliBBCCCEqgKpAonHjxuzYsUNvW25uLhs3bqRZs2Ylpu/atWuhs2NWFHNzc9asWUNISAgeHh789ttvrFy5EoDevXuze/duUlNT2b59OwkJCXTo0AFXV1dcXV0ZO3bsEyuXEEII8b9O1V0b8+bNY+LEifz88880a9YMrVZLYmIiGo2GtWvXlpi+Vq1afPLJJ+zZswd7e3tMTEz0Xv/oo4/KVvp8nJ2dCwQ7AHv27FEeP60DWYQQQoiqSlUg4ebmxv79+9m3bx9JSUkAeHt707t3b2rUqFFi+ocPHxbaNSKEEEKIp5vqaSVr1arF0KFDy3SQkm4PFUIIIcTTqchAwsfHh507d1KzZk06d+5cYIrs/HRTYRfn8OHDbNiwgT///JOQkBC+//576tevz6BBg8pUcCGeJjkaDUaPTRFfGhUxmVt5yyCEEIUpMpCYOnWqMg/DtGnTynWQH374gQ8//JARI0YQFxdHbm4udevWJSgoiPT0dEaOHFmu/IWo6ozMzNjcsmWZ0t66fBmgzOl1hpw9W670QghRmCIDiddee015nJ6eziuvvEKtWrXKdJCvv/6awMBAevbsqQzOHDp0KLVr1+ajjz6SQEIIIYR4Sqm6/fPbb7+lU6dOjBkzhtDQUFJTU0t1kCtXruDs7Fxge/Pmzblz506p8hJCCCFE1aEqkNizZw+hoaG4uLiwdu1aOnTogJ+fHz/99FOx61noNGvWjCNHjhTYvmPHDpycnEpfaiGEEEJUCarv2mjWrBnNmjXj7bff5uLFi+zdu5f333+fgIAATp48WWzamTNnMmHCBCIjI8nKyuKLL74gOTmZc+fO8eWXX5a7EkIIIYSoHKoDCcibD+LQoUPs37+fY8eO0aBBA3r37l1iOjc3N37++Wc2b96MkZERDx48wM3NjY8//pjnn3++zIUXQgghROVSFUhs376d/fv3ExkZSb169ejduzf+/v6l6paoW7cuU6dOLXNBhRBCCFH1qAokPvvsM1555RX8/f1p3bq1qoxnzJihuhAVMUW2EEIIIf55qgKJI0eOFDshVWF2796NoaEhrVu3LrCctxBCCCH+NxQZSAwdOpTVq1dTo0YNhg0bVmwm3377bYFtX331Fb/88guHDh3i0aNHdOvWje7du9OynJPqCCGEEKLqKDKQ8PT0VFbpbN++falbJLy9vfH29gbg9OnTHDx4kOnTp5ORkaEEFW5ubhgaqroDVQghnhoyJbqoTooMJPz9/ZXHb7/9drkO0qZNG9q0acM777xDcnIyBw8e5JNPPuHKlSt07tyZxYsXlyt/IYSoSmRKdFGdFBlIzJ49W3UmpVnd09bWljp16lC3bl3OnTtHdHS06rRCCCGEqFqKDCSys7OVxxqNhv3799OyZUucnZ0xMTEhISGBU6dO4evrW+JBkpKSCA8PJzw8nPj4eF544QW6du3KpEmTeOGFFyqmJkIIIYT4xxUZSCxbtkx5/M477+Dv76/X3QEQHBzMiRMnCk0fFRXFoUOHCA8P5/r167Rr144+ffqwcuVK6tWrV0HFF0IIIURlUnX7Z3h4OFOmTCmwvXv37nzxxReFpnnrrbcwMTHB3d2dIUOGYG1tDcDRo0cL7DtgwIDSlFkIIYQQVYSqQKJx48bs2LGDd999V9mWm5vLxo0badasWaFpdFNfX758mcv/f/BQYQwMDCSQEEIIIZ5SqgKJefPmMXHiRH7++WeaNWuGVqslMTERjUbD2rVrC00THh5eoQUVQgghRNWjKpBwc3Nj//797Nu3j6SkJCBvnojevXtTo0aNJ1pAIYQQQlRdqlf/rFWrFkOHDn2SZRFCCCHEU0ZVIHH16lU++eQTzpw5Q3Z2NlqtVu/1w4cPP4myCSGEEKKKUxVIzJ07lzt37jBixAjl7ovSOHbsGG3btq2QaV+FEEIIUXWoCiTOnDnDpk2byrzg1rvvvktISEiRd3gIIYQQ4umkasUsOzs7Hj58WOaDODk5ERMTU+b0/2tyNJpy51He1p2KKIMQQgihqkVi9OjRBAQE8NZbb2FnZ6esCqrj6elZbHorKysWLlzIqlWraNCgAWaPrUhX2DLk/8vKs6APVMyiPrKgjxBCiIqgKpCYNWsWAAsXLizwmoGBAYmJicWmb9myZZm7RYQQQghRdakKJM6dO1eugzy+RocQQggh/jeonkeiPB49esSWLVu4ePEiOTk5AGi1WjIzMzl37hxhYWH/RDGEEEIIUcGKDCQ6d+6MgYGBqkxKmkdi3rx5HD9+nA4dOvDzzz/Ts2dP/vzzT86cOSOtFUIIIcRTrMhAYtq0aRV2kKNHj/LZZ5/RoUMH/vjjD0aOHImzszNBQUFcuHChQo5x+vRp5s+fz+XLl2nRogVBQUHY29sXuu+9e/fo378/GzdupGHDhhVyfCGEEKI6KjKQeO211yrsIJmZmTRu3BiApk2bcubMGZydnRk8eDBDhgwpd/4ajYbJkyczc+ZMevToQXBwMLNmzWLz5s0F9o2Pj2fu3Llcu3at3McVQgghqjtV80iU17/+9S8iIiKAvEBCN6fEgwcPyMzMLHf+x48fx9bWlldffRVTU1P8/Pz4448/lAXGdC5evMjEiRMZPXp0uY8phBBCiH9osOXbb7/NlClTyM3NxdfXl169ejF27Fj++OMPvL29y51/cnIyjo6OynMjIyPs7OxISkqiSZMmyvbnnnuOX375BSsrK+WWViGEEEKU3T8SSHTp0oV9+/aRk5ND/fr1+e677/jhhx9o164dw4cPL3f+aWlpmJub622zsLAgPT1db1tZ1gmBvK6TkubKKI3mzZtXWF7lUZF1EsWTc169yPkWpZWRkfHUnq9/JJAAaNiwITdv3uT48eO4uLgwZswY6tSpUyF5W1hYkJGRobctPT0dKyurCsnfzMysyvxjqEj/i3USxZNzXr3I+X56JCYmVqnzVZqgRnUgcfTo0SKXEZ86dWqxaR89esTs2bPZv38/hoaGhIWFsXjxYu7evct//vMfateurbrAhXF0dGTnzp3K85ycHK5cuYKDg0O58hVCCCFE8VQNtly8eDETJkzgwIEDnDhxgpiYGOUvNja2xPRLly7l7t27HDx4UFlnQzdGYdGiReUofh4PDw9SUlLYtWsXmZmZrF69Gnt7e73xEUIIIURV5OPjw1tvvVXZxSgzVS0Se/fuZeHChbz++utlOkh4eDjBwcE0aNBA2daoUSMWLFjAiBEjypRnfubm5qxZs4b58+cTGBhI8+bNWblyJQC9e/dmwoQJ9O3bt9zHEUIIIYQ+VYFETk4Obdu2LfNBMjIyCqwYCnnzSzzeTVJWzs7O7Nixo8D2PXv2FLr/+fPnK+S4QgghRHWmqmtj2LBhfP755zx69KhMB+nWrRsrVqzgwYMHyrbLly+zcOFCfHx8ypSnEEIIISqfqhaJiIgI4uPj2bdvHzVr1izQulDSWhsBAQHMnj0bDw8PtFotvr6+pKen4+Xlxdy5c8tceCGEEEJULlWBxMCBAxk4cGCZD2Jtbc2qVau4cuUKly5dIjs7GwcHBxkMKYQQQjzlVAUSunU3cnNzuXbtGvXr1yc3NxdTU1PVB9JqtZiamuoFD1evXgXAzs6uNGUWQgghRBWhKpDIzs5mxYoVbNq0iZycHMLCwli+fDnGxsYsXLgQS0vLYtMfOXKEgIAAbt++rbddq9ViYGDw1M7mJYQQQlR3qgZbfvrppxw7dox169Yp80AMHz6chIQEgoKCSky/fPlyXF1d2bVrFwcOHFD+Dh48yIEDB8pXAyGEEEJUGlWBxJ49e1iwYAHu7u7KNjc3NxYvXswvv/xSYvqrV68ydepUnJycaNCgQYE/IYQQQjydVAUSd+/eLXQa68LWuCiMm5sb8fHxpS+dEEIIIao0VWMkPD09+eqrr/Sms05NTeXjjz+mffv2JaZv27YtgYGBhIeHY29vX+D20ZLW6hBCCCFE1aQqkJg/fz6TJ0/G09MTjUbDhAkTuH79OnZ2dqxevbrE9JGRkTg7O3P37l3u3r2r95qBgUHZSi6EEEKISqcqkKhXrx7bt28nMjJSbx4ILy8vDA1L7h0JCQkpd0GFEEIIUfWoXkYcwNTUFHNzc3r06MHff/9NdnZ2kXNJbN++nb59+2Jqasr27duLzNPAwKDMi4EJIYQQonKpCiRSUlKYMGECFy9eJDMzk3bt2vHJJ59w4cIF1q1bR6NGjQqk+eKLL+jWrRumpqZ88cUXReYtgYQQQgjx9FIVSCxcuJAGDRqwadMmPD09AVi2bBkzZsxg0aJFfPXVVwXShIeHF/pYCFE68xo3ruwiCCFEkVTd/hkZGcnbb7+Nubm5ss3a2pp3332XuLi4Mh88ISGBiRMnljm9EEIIISqXqkDC0NCQ9PT0Attv376tzHRZFikpKRw5cqTM6YUQQghRuVQFEn369GHRokWcO3cOAwMDHj58SEREBPPnz6dXr15PuoxCCCGEqKJUjZGYPn06H3/8MQMHDiQrK4vXXnsNY2NjBgwYwPTp0590GYUQQghRRakKJAwNDZk1axbTpk3j6tWr5OTkYGdnh5WV1ZMunxBCCCGqMFWBhLu7O56ennTq1AkvLy8aNmxYYpohQ4aUOGvlgwcP1JVSCCGEEFWSqkAiJCSEyMhIwsLCWLJkCc8//zydOnXC29ubdu3aFTopVYcOHVQVoEePHqUrsRBCCCGqDFWBhLOzM87OzowbNw6NRkNMTAyhoaGMHz8eMzMzTp48WSCNv79/hRdWCCGEEFWL6imyL168SFxcHLGxscTGxnLjxg2cnZ1xc3N7kuUTQgghRBWmKpBo164dDx8+xN3dHXd3d/r164eLiwsWFhZPunxCCFGtyEym4mmjKpDw9fUlJiaGM2fO6A2gdHV11ZvtUgghhBDVi6pAYu7cuQCkpqYSExNDdHQ0K1eu5MKFCzRr1oytW7c+0UIKIYQQomoq1TLiWq2W3NxccnJyyMjIICcnp8gpsmfPnq063yVLlpSmGEIIIYSoIlQFEkuWLCE6Oprz589jZ2dHx44dmTp1Ku3bt8fS0rLQNNnZ2cpjjUbD/v37admyJc7OzpiYmJCQkMCpU6fw9fWtmJoIIYQQ4h+nKpC4evUqAwcOxNvbGzs7O1UZL1u2THn8zjvv4O/vX+CW0ODgYE6cOFGK4gohhBCiKlG1aNf58+fp2bNngSDi5p8l3iYAACAASURBVM2beHp6lpg+PDycPn36FNjevXt3CSSEEEKIp1iRLRJ79+7l8OHDAPz9998sWLCgwHiIv//+G2Pjkhs1GjduzI4dO3j33XeVbbm5uWzcuJFmzZqVsehCCCGEqGxFRgHt27fn6NGjQN4gS0NDQ4yMjPT2eeGFF5g5c2aJB5k3bx4TJ07k559/plmzZmi1WhITE9FoNKxdu7acVRBCCCFEZSkykKhVq5ZyN0WDBg0YPXp0kQMrS+Lm5sb+/fvZt28fSUlJAHh7e9O7d29q1KhRpjwfd/r0aebPn8/ly5dp0aIFQUFB2Nvb6+2Tm5vLkiVL2L17N4aGhowaNYrx48dXyPGFEEKI6kjVYEt/f3/u3LnDhg0b+PPPP5k+fTpRUVE4OjrywgsvqDpQrVq1GDp0aLkKWxSNRsPkyZOZOXMmPXr0IDg4mFmzZrF582a9/UJCQjh9+jRhYWHcv3+fUaNG0apVK1XjPIQQQghRkKrBlmfOnKFHjx5ERkby008/kZaWRlRUFG+88QbHjh0rMf3Vq1d555136N69O126dMHHx0fvr7yOHz+Ora0tr776Kqampvj5+fHHH38orR86P/30E6NHj8bW1pZGjRoxbNgwtm3bVu7jCyGEENWVqhaJoKAgxo8fz4QJE3B1dQUgMDCQunXrsmLFCry8vIpNP3fuXO7cucOIESOwtrYuf6kfk5ycjKOjo/LcyMgIOzs7kpKSaNKkibL90qVLevs5ODiwc+fOCi+PEEIIUV2oCiQSEhIKnX3S19eXr776qsT0Z86cYdOmTbRs2bL0JVQhLS2twJofFhYWpKen621LT0/XW2jM3NycjIyMEvPXaDQkJiZWTGEBR3t7hpw9W+b0wf+/FWfI/7+rpiw0jx5x6cqVMqcXpVPec14R5Jz/c+R8Vy+O9vaYWVmVK4+yjkHUqczzrSqQqF27NklJSQUGL8bGxvLss8+WmN7Ozo6HDx+WrYQqWFhYFAgI0tPTsXrsxD4eOGRkZKg6eWZmZjRv3rxiCltB0tLSypXezMqqytVJFC0xMbHc50vO+dNDzvfTZ3M5fijfuny53HkMOXu2Qs93aX48qwokxo0bR0BAAOPGjUOr1RIREcH169fZuHEj7733XonpR48eTUBAAG+99RZ2dnaYmJjovV7ewY6Ojo56XRQ5OTlcuXIFBweHAvtdvnyZpk2bAnldIo/v8zQ4fPhwhbaQCCGEEGWlKpAYNGgQdevWZe3atZibm7NixQocHBz48MMP6dWrV4npZ82aBcDChQsLvGZgYFDui6KHhwcpKSns2rWLXr16ERwcjL29vd74CIDevXsTHBxM27ZtefToEZs2bVJWNhVCCCFE6ale/bNr16507dq1TAc5d+5cmdKpZW5uzpo1a5g/fz6BgYE0b96clStXAnnBw4QJE+jbty/Dhw/n1q1b9O3bF61Wy8iRI+nWrdsTLZsQQgjxv0x1IBEZGcmWLVu4dOkSJiYmODo6Mnr0aFq0aKEqfVZWFrdu3SI3NxfImy0zMzOThIQE+vbtW7bS5+Ps7MyOHTsKbN+zZ4/y2NjYmJkzZ6qajVMIIYQQJVMVSGzfvp3AwED69OnDoEGDyM3NJT4+nkGDBhEUFETv3r2LTb9///9r776jorq2OAD/hiZSBBFsBA1qbDEqDIKggCCCiohgwxpsYIktSrGACChEEFSCsTzMSyxRE0yMJSo2NCAgFoImFtBIFZEiRYoM5/1BuI8JbRiqsr+1XEtuO+fOvjqbe889+xLc3NyQl5dXbV23bt2aJJEghBBCSMsTKZHYs2cPvLy8MGXKFKHlOjo62LlzZ72JREBAACwsLGBvb49Zs2bhwIEDyM3NhZeXF5YtWyZ+7wkhhBDSqkRKJAoLC/HZZ59VW87n85GTk1Pv/ikpKdwAyCFDhiAzMxNmZmaQlJSEr68vpk6d2vCeE0IIIaTViTRF9rx58+Dn54c3b95wy4qKihAUFAQ7O7t69+/UqRM3OZSmpib3loampiZSUlLE6TchhBBC2oBa70gYGxuDx+MBqBgYmZGRAUNDQ3z00UeQkJBASkoKSktLRZoAw8TEBFu3bsXWrVuhp6eHr776CsbGxrh48SK6devWdGdDCCGEkBZVayKxZs2aJmtk48aN8PHxwcOHD2FtbY2LFy9i5syZkJOTg5+fX5O1QwghhJCWVWsiYWNj02SNyMvLw9vbm/vZ398fHh4ekJWVhZSUyG+gEkIIIaSNabVv8eaoAkoIIYSQlkW3AwghhJBGEJSUtHpFZ0FJCSQ7dBB7/8YQ6a0NQgghhNSsKb7AG1vRubWSCKCBiURGRgaioqJQXFyM169fi7zf119/jbS0tAZ3jhBCCCFtm0iJRGFhIVatWgVjY2MsXLgQmZmZcHNzg52dHbKysurd/7///S8EAkGjO0sIIYSQtkWkROKrr75CTk4Orly5gg7/3D6pLA1e9W2M2lhbWyM4OBiJiYkoKipCeXm50B9CCCGEvJ9EGmx59epVHDhwAOrq6tyy3r17w8PDA/Pnz693/8uXLyMjIwOnT5+ucX3lTJeEEEIIeb+IlEgUFxdDWlq62vLS0lIwxurdnyadIoQQQj5MIiUSY8eOxc6dO7Fjxw5u2d9//w0vLy+M+ee1lbro6urWuu7ly5eidIEQQgghbZBIiYSbmxs2bNgAPT09MMZgbW2Nt2/fwtDQEJs2bap3/8TEROzYsQNPnz7lxkQwxlBaWorc3Fx6tEEIIYS8p0RKJBQUFBAUFITk5GQkJiairKwMmpqa6Nu3r0iNuLm5oby8HI6Ojti+fTucnZ2RmpqKY8eOwcfHp1EnQAghhJDWI1IiIRAI8J///AdqamqwtbUFANjb28PQ0BALFy7kqoTW5sGDBzhx4gQGDRqEX375BX369MGcOXOgqamJkydPYsqUKY0/E0IIIYS0OJFf/zxx4gTU1NS4ZZaWljh69Ch27dpV7/5SUlJQVFQEAPTp04d7lGFgYIAnT56I029CCCGEtAEiJRLnzp1DQEAADA0NuWXTp0/Hjh07EBoaWu/+fD4fISEhKCoqwpAhQ3D58mWUl5cjLi6Om5eCEEIIIe8fkRKJkpKSGr/wFRQUUFhYWO/+rq6uiIyMxLFjx2BtbY2cnBzo6Ohg/fr1mD17dsN7TQghhJA2QaQxEsbGxvDy8sJXX30FDQ0NAEBycjJ8fHyE7lLUpm/fvrh48SKKiorQsWNHhIaGIiYmBsrKyhg+fHjjzoAQQgghrUakOxJubm7g8XgYN24cRowYgREjRsDc3BySkpLYsmWLSA2VlJQgLCwMe/bsQWlpKWRlZYVmyiSEEELI+0ekOxLKyso4evQonj59isTEREhLS+Pjjz8W+fXPFy9ewN7eHpKSknj58iVsbGxw/Phx3Lp1CyEhIRgyZEijToIQQgghrUPkMuKMMSgqKuLTTz9F//79ISMjg+TkZCQnJ9e7r7e3N8aOHYuwsDBuqu2AgABYWFhg+/bt4veeEEIIIa1KpDsS4eHhcHNzQ2ZmptByxhh4PF69M1Peu3cPGzduFJpvQkJCAosXL4a1tbUY3SaEEEJIWyBSIuHv7w8tLS0sX74cCgoKDW5ETk4OmZmZ0NTUFFr+5MkTdOrUqcHHI4QQQkjbIFIikZycjN27d6NPnz5iNWJnZwd3d3esX78eQEXtjVu3bmHXrl2YNWuWWMckhBBCSOsTKZHQ0dHBH3/8IXYisXz5cigqKsLb2xtFRUVYunQpunTpggULFmDRokViHZMQQgghrU+kREJbWxtbt27F1atX0atXL27AZKXVq1fXe4x58+Zh3rx5ePv2LQQCATdlNiGEEELeXyIlErdu3cKQIUOQk5ODnJwcoXX1FeyqlJiYiAcPHqCsrAyMMaF106ZNE7G7hBBCCGlLREokDh8+3KhGDhw4gICAACgpKUFeXl5oHY/Ha3QikZ2dDRcXF8TGxkJNTQ2bN2+GkZFRrdszxrBixQqYmZlx1UwJIYQQ0nAiJRIA8OjRIxw5cgQvXryAv78/wsLC0KtXrzq/sCsdP34ca9euhaOjY6M6Wxs3NzdoaGggODgYUVFRWL9+PS5fvlzjGyGvXr3C1q1bceXKFZiZmTVLfwghhJD2QqQJqW7evAk7OzsIBALExcWhtLQU2dnZWL58Oc6cOVPv/nl5ebCwsGh0Z2tSWFiIa9eu4YsvvoCMjAyMjIygra2Nc+fO1bj9zJkz0atXL2hpaTVLfwghhJD2RKREIjAwEBs2bICPjw8kJSUBAKtWrcKmTZuwd+/eeve3trbG8ePHq42NaAovXryAoqIiVFRUuGWamppITEyscfsTJ07AxcWl2oBRQgghhDScSI82nj17BgMDg2rLR40aBR8fn3r3z8nJwaVLl3DmzBmoq6tX+xI/evRovce4ceMGlixZUm25vr4+OnbsKLRMVlYWeXl5NR6na9eu9bb1byUlJfXO3tnSiouL21yfSPOheLcvFO/25e3btygvL39vYy5SIvHRRx/h/v37XAnxSlevXq22rCZ9+vTB0qVLxevhPwwNDfHw4cNqyx8/flxtLori4mLIyck1qr2qOnTogEGDBjXZ8ZrCX3/91eb6RJoPxbt9oXi3L3Jycnj79m2binlDkhqREok1a9bA2dkZ8fHxEAgECA0NRXJyMi5evAg/P7969//iiy9E7lBteDwepKSqd7d3797Iz89Hbm4ulJWVAQDPnz8XaRAoIYQQQhpHpETCzMwMx44dw6FDh/DJJ5/g+vXr0NTUxNGjRzFs2LAa93F2doa7uzsUFBTg7Oxc5/F37NjR8J7/Q0FBAYaGhggMDMTGjRsRExOD2NhYeHl5iX1MQgghhIhGpERi06ZNcHBwaNAXfuWgzH//vTls27YNbm5uGDVqFLp06YKAgACoqakBANzd3QEAnp6ezdoHQgghpD3iMRFepdDV1UVoaKhI4yE+RG3xeWVb7BNpPhTv9oXi3b6MGTMGb9++RUxMTGt3hdOQa1CkOxL29vbw8PDA/Pnzoa6ujg4dOgitrynB2L17t0gd4PF4WLVqlUjbEkIIIaRtESmR2LNnDwAgIiICwP/razDGwOPxahzdGRsbK1IHRK3VQQghhJC2R6RE4sqVKw0+cGPrcxBCCCGk7RNpZkt1dXWoq6vj5cuXiIqKgpKSEgoLC6GmpgZ1dfUGNWhlZYX09HSxOksIIYSQtkWkOxJZWVlwdHREQkICSktLoauri8DAQDx58gSHDh1C7969RW4wJSUFZWVlYneYEEIIIW2HSHckvLy8oK6ujqioKG6gpZ+fHwYMGABvb+9m7SAhhBBC2i6REolbt25h5cqVkJWV5ZYpKChg3bp1uHv3boMaVFdXr3GGSkIIIYS8f0T6RpeQkEBRUVG15ZmZmdVeBa3P2bNnG7Q9IYQQQtoukRKJSZMmwdvbG1u3bgWPx0NBQQEiIiLg6emJiRMn1rt/aWkpTp06hfj4eJSVlVUrJ96YKbIJIYQQ0npESiScnJwQEBCA6dOn4927d7CxsYGUlBSmTZsGJyenevffvHkzLl26BENDQygoKDS604QQQghpG2pNJHbv3o0FCxagU6dOeP36NZydnbFmzRokJydDIBBAQ0MD8vLyIjUSHh6OgIAAmJqaNlnHCSGEENL6ah1seejQIWRnZwMAxo4di9zcXMjKyuKTTz7BwIEDRU4iAEBWVrbd1ukghBBCPmS13pH49NNPMXfuXPTq1QuMMSxbtqzWty2OHj1aZyMrVqzA9u3bsWnTJmhoaEBaWlpovYSESC+PEEIIIaSNqTWROHDgAEJDQ5Gfn4+7d+9CW1u7QXchqgoODkZWVhasrKxqXF9TrQ5CCCGEtH21JhIhISHcGInU1FSsWLFC7IGSfn5+YneQEEIIIW2XSGMkfvnlF5SWlordiK6uLnR1ddGlSxfk5uYiKysLnTp14pYTQggh5P3UImMk3rx5AxcXF1y/fh1KSkoQCAQoLCyEjo4O9u7dC0VFxcadBSGEEEJaRYuMkfDy8kJmZiZ+++03aGpqAgASEhLg6uoKHx8fbN++XbzeE0IIIaRV1ZpIKCgo4PPPPweARo+RuHbtGr777jsuiQCAfv36wd3dHUuWLBHrmIQQQghpfbUmErdu3cKIESMgJSWFyZMnIz4+vtaD6Ovr19lI1WJfVfF4PAgEAhG7SgghhJC2ptZEYsGCBYiIiECXLl2wYMGCWg/A4/HqfX3T1NQUnp6e+Oqrr7i7Es+ePYOXlxdMTEzE7DohhBDy/rt+/fp7PQ1CrYnEo0ePavy7OJycnLBixQpMmDCBezxSWFgIY2NjuLm5NerYhBBCCGk9IhXtSk5ORkJCAgoLC6GoqIhPPvkEPXv2FLmRTp064fDhw3j06BGePXuGDh06oE+fPkJjJgghhBDy/qkzkbh16xZ8fHzw9OlTodLfPB4Pn376KVxdXaGjo1PjvuXl5dWW9e/fH/3796+2DU2RTQghhLyfak0kfv/9dzg6OsLS0hLu7u7o168fFBUVUVBQgEePHiE0NBQLFizA999/Dy0trWr7Dx48GDwer94O8Hg8/Pnnn407C0IIIYS0iloTieDgYNjb28PJyUlouZKSEvT09KCnpwclJSV88803OHDgQLX9v//++1obzcjIwK5du5CamoqJEyc2ovuEEEIIaU11Drb08vKqc+fp06dj4cKFNa6raerr8vJyfP/99/j666+hpqaGb7/9tt5XRwkhhBDSdtWaSBQXF0NJSanOnTt37oysrCyRGrp37x62bt2Kv//+G0uXLsWiRYuqlRMnhBBCyPul1kSCMVbvIEhRxkDk5ubCz88Pp06dwpgxYxAcHAx1dfWG95QQQgghbU6db22cPXu2zvoaBQUFdR78xx9/xM6dOyEvL4+vv/4aY8eOFa+XhBBCCGmTeKzqe51VmJqainyQq1evVltmZ2eHuLg49OzZEwsWLKh1mmwAmDZtmshttYb79++jQ4cOrd0NQgghpEWUlJRg+PDhIm1bayLRWKImIjweD1euXGmOLhBCCCGkmTVbIkEIIYSQDx9NKUkIIYQQsVEiQQghhBCxUSJBCCGEELFRIkEIIYQQsVEi0UJSUlIwYMAAaGlpQUtLC8OHD4etrS3u379f774DBgxASkoK0tLSaiyQVhMvLy8MHz4cDg4Oje06EQPFu31avHgx9u7dy/3MGIO+vj5mzpwptN3atWsRGBjY0t0jTYziXaHOCalI07t37x6Airojhw8fxqpVq3Dt2jVISkrWu2/Pnj25/etz/Phx/PDDDxg6dGij+ksah+LdvhgYGCAyMpL7+cGDB1BVVcXjx4+Rm5sLZWVlAEBsbCxmzZrVWt0kTYTiXYHuSLQSCQkJ2NjYICMjAzk5OcjKysLq1auhp6cHc3Nz/PLLL9X2qfwtt1JERASsra2ho6MDe3t7JCUlAQD09PRQVlaG+fPn4+eff8aFCxdgbm4OXV1d2NnZIT4+HkDFxS3qb7ykcSje7YOBgQHu37+P8vJyAMDNmzdhaGgILS0tREREAABevHiBgoICaGlp4cCBAxgzZgz09PSwevVqvH79GgAQFBSEZcuWYezYsZgyZQpOnTqF+fPnw8rKCsbGxli1ahV8fX25dlNTUzFixAiUlpbC3d0d7u7uLX/y7RDF+x+MtIjk5GTWv39/7ueysjJ26NAhNmXKFMYYYwsXLmQeHh6spKSE/fXXX2zUqFHs/v37jDHG+vfvz5KTk4WOkZSUxLS1tVlkZCQrLS1lhw4dYpaWlkwgEAjtU1ZWxrS0tNhff/3FysvLWXBwMLO3t2/hs29/KN7tU3l5ORs5ciR79OgRY4yxWbNmscjISHbw4EHm4uLCGGPsxx9/ZI6OjuzIkSNs3Lhx7Pnz56yoqIht3ryZzZs3jzHG2J49exifz2dJSUksPz+fhYaGskGDBrG4uDiWn5/Prl+/zkxMTLh2qx6ftByKdwW6I9HCdHR0oKOjg2HDhsHX1xezZs3Cq1evEBUVBWdnZ8jIyGDgwIGwtbXFqVOnaj3O+fPnMWbMGOjr60NaWhoLFizAmzdvuN8+K0lKSkJeXh4nTpxAfHw8HB0d8e233zb3aZJ/ULzbFx6Ph5EjR+Lu3bvIz8/H48ePwefzMXr0aPz+++8AgNu3b2PUqFE4e/YsFi1ahI8//hiysrLYsGED7ty5g5cvXwIAhg0bBg0NDSgoKAAANDQ0MHToUCgoKGDUqFEoLCzEgwcPAAAXLlzAxIkTW+ek2zGKdwUaI9HCYmNjAVQMyrlz5w5WrFiBN2/eQCAQwNDQkNtOIBBAT0+v1uOkp6fj0qVL0NHR4Za9e/cOaWlpGDZsmNC2//nPfxAUFAR7e3vIy8tj3bp1mDJlShOfGakJxbv90dfXx+3bt6GiogI+n88liwCQmJiI2NhYODg44MiRI+jZsye3n5ycHJSVlbkvFlVVVaHjqqmpcX+XkpKCubk5Ll26BGVlZaSkpMDAwKAFzo78G8WbEolWw+PxoKOjAz09PTx79gwdO3ZETEwMV7o9MzOzzgF5qqqqmDp1Kjw8PLhlz58/F7pQAeDt27fIzc3F119/jdLSUly6dAnOzs4wNTVFp06dmuXcSHUU7/ZDX18fISEhkJOTE0oWR40ahd9++w3l5eXo27cvunfvjrS0NG59YWEhcnJy0KVLFwAV10xV//554sSJ8Pb2hoqKCszNzSElRf+dtwaKNw22bFWPHj1CdHQ0dHV1MXjwYOzZswelpaXIyMiAvb19nbe6J0yYgAsXLuD+/ftgjOHSpUuwtrZGTk6O0HYCgQCOjo64efMmZGRk0LlzZ8jKylI101ZA8W4fNDQ0UF5ejvDwcIwePZpbPnr0aJw8eZL7TXLy5MkICQnB33//jeLiYvj6+mLw4MHQ0NAQqR09PT28efMGoaGhmDBhQrOcC6kfxZvuSLS4qqPmlZSUMH/+fNjY2MDAwADe3t4wNDSEhIQErK2tsWDBglqP07dvX/j6+sLd3R0pKSlQV1dHUFAQunfvLrSdoqIidu7cie3bt+Ply5fo3r07du3ahQ4dOiA2NhZLliwR+RVD0nAU7/Zp5MiRiIiIgKamJrds1KhRcHJywqhRowAAtra2eP36NRYuXIjc3FyMHDkSwcHBIrchISEBCwsLXLhwQeixWOUIfk9PzyY6G1Kf9h5vqv5JCCHvqYMHDyIjIwObN29u7a6QFtBW402PNggh5D3z5s0bPHz4ECdPnoS1tXVrd4c0s7Yeb0okCCHkPfP06VPMmTMHJiYm+Oyzz1q7O6SZtfV406MNQgghhIiN7ki0M6mpqa3dBdKCKN4EoOuANC9KJFpAQkICFi9eDD6fD21tbcydO5ebqKi57du3jxvVe/jwYQQFBbVIu+0ZxfvDZmdnB1NTU66+QltH10HTGDBgAIYPH85V9NXV1cW6deuQl5fX2l2rU1BQEFxdXZu1DUokmplAIICDgwOMjIwQFRWFmJgYWFtbY8mSJcjMzGz29pcuXcq9FpSbm9vs7bV3FO8P27Nnz5CdnY2uXbsiPDy8tbsjEroOms7Zs2dx79493Lt3D1evXkVmZqbQJHHtFc0j0cxyc3ORmpoKS0tLSEtLAwCmT5+OZ8+eISsrCxISEvD09ERUVBSUlJSwfPlyTJkyBUePHsWVK1dw6NAhABXTIY8aNQrff/89+vbti6CgIJw+fRoCgQCTJ0/G2rVrIS0tjXnz5qFnz54IDw/HpEmToKSkhNTUVEycOBH79+8HYwy5ublQUlJC586duUw1NTUVU6ZMQUREBGRkZFrt83rfUbw/bKGhoTAxMcHHH3+M48ePw8TEBEDFFOaurq6Ij4/H4MGD0bt3b3Tv3h0rV66sc52pqSn09fURFhYGBwcHfP7557XGOi8vD5s2bUJkZCR69eoFPT095ObmwtfXF1lZWdi6dSv++OMPZGdnY9iwYfD398fjx4+FroN9+/bh4cOH8PLyQkJCAjQ1NbFlyxYMGTKklT/Z94+CggIsLCzwww8/AKiYqdLX1xdXr16FjIwM5syZg8WLFwNAtTgPGzYMnp6eSE9Ph4aGBtauXQsjIyMwxnDw4EEcO3YMRUVFGDlyJNzc3KCqqopTp04hLCwMkpKSiIiIQK9eveDr64tBgwZBIBDA398fV65cwatXr9CjRw94eHjUOe1+U6I7Es2sS5cu4PP5mDNnDvbv34/79+/j3bt3cHFxwcCBA+Hs7AwVFRXcvHkTe/bsgb+/P+Li4jBhwgTExsYiOzsbABAZGQk1NTUMHDgQISEhiImJQWhoKH799VfExcUJFWZ68eIFrl69ijVr1nDLjIyM4OjoCCsrK+zbtw8TJ07EpUuXuPW//fYbxo4dS18qjUTx/nAJBAKcPn0aNjY2mDRpEmJiYrixB+vWrcOAAQMQFRWFFStW4PTp09x+da0DgPz8fPz++++ws7OrM9ZeXl6QkJDAzZs3sW3bNvz888/cMfz8/KCsrIywsDBERkYCAI4cOVLtOsjPz8eSJUswa9YsREVFYcGCBXB0dERBQUFzf3wfnNTUVJw5cwa6uroAAF9fX2RnZ+PixYs4fPgwQkNDcf78eW77qnH28PDA6tWrERsbi88//xze3t4AgGPHjuGnn37Cf//7X4SHh6NTp0748ssvuWNcu3YNNjY2iI6OxrBhw7Bjxw4AwOnTpxEdHY0ff/wRd+7cgampKQICAlrss6BEogWEhITA1tYWYWFhmD17NvT19REYGFhnFUgVFRXo6uoiLCwMQMV//JMmTQIA/Pzzz1i5ciVUVVWhoqKCZcuWCf2nYmJiAjk5Oa6KXE3aejW59xnF+8N048YNdO/eHQMHDoSioiLMzMxw8uRJpKWl4Y8//sCXX34JGRkZ6Ovrw9zcHADqXFfJ3NwcMjIyUFBQqDXWpaWluHjxPaLpmQAAEYFJREFUItatWwc5OTkMHjwYM2bM4I6xbt06uLi4oLy8HOnp6VBWVsbr16+rnUN4eDh69eoFa2trSElJYeLEidDQ0MCNGzea98P7QEyePBk6Ojrg8/mYPXs2+vbtiy+//BKMMZw+fRpOTk5QUFDARx99VG3a+6pxVlRUxNmzZ3H79m1MmjQJFy9eBIB6K4T27duX+wVg/PjxSEpK4o598OBBKCgoIC0tDfLy8i3yKLUSPdpoAR07doSDgwMcHBxQUFCA8PBweHp6Qlpaus4qkFZWVvj5559hY2ODK1eucBfly5cvsXLlSq7gE2NMqMDLv6vI1aStV5N7n1G8P0yhoaFISEjgpjwuKipCx44dYWhoCGVlZcjKynLbVhZTy8jIqHVdparxqy3Wubm5KCkpEZoSvWfPntyXRXp6Ory8vJCSkoL+/fujpKQE8vLy1c4hPT0dDx48EKoiW1ZWhvT0dLE/l/bk119/xUcffVRteVZWFkpKSjBt2jRuWXl5udC2VeMcGBiInTt34osvvgBjDEuWLMGSJUuQnZ1dZ4VQFRUVbp2kpCQqZ28oLS2Fu7s7bt++jV69eqFr165Nd9IioESimZ07dw779u3DmTNnAFQ8V7O0tMTt27eRmppaZxVIMzMzbN26FRcuXICmpiZX3EVVVRWBgYEYOnQoAKCgoECoeNO/q8bVpi1Xk3tfUbw/TNnZ2bhx4wZOnToFJSUlbvmMGTOQnJyMnJwcFBcXcwnDy5cvubEQta2r9O+ksKZYd+nSBdLS0khPT+f2rfxyAQAnJycsWrSIu0uxbds25OfnVzsPNTU16Ovr4+DBg9yy5ORkoS8o0nDKysqQlpbGxYsXuWqeOTk5KC0t5bapjHNZWRmeP38OPz8/MMZw69YtLFu2DEZGRnVWCH327Fmt7QcGBkJRURERERGQlpbG5cuXsX379mY62+ro0UYz09fXx6tXrxAUFIT8/HwIBALEx8cjPDwcFhYWdVaBlJeXh7GxMXbu3Mnd5gYqfnMNCgpCTk4OioqK4O7uDi8vr3r7IiMjI/QstC1Xk3tfUbw/TKdPn4aWlhb69esHNTU17s+kSZNw6tQpaGlpYffu3SgtLUVsbCw3HqVHjx61rqtJbbGWlJSEpaUldu3ahaKiIjx9+hQ//fQTt19eXh46duwIALh79y5+/fVXvHv3DoDwdWBsbIwHDx7g2rVrYIzhzp07mDx5MhITE5vro2sXJCUlMWHCBPj7++Pt27d48+YNVq1ahX379tW47YYNG/Djjz+Cx+NBVVUVEhIS6NSpk9gVQvPy8tChQwdISkoiPT0d+/fv5+LfEiiRaGYqKio4cuQIHj58CDMzM/D5fGzcuBGrV6/GmDFjEBAQgMTERBgaGmLKlCkwNDQUqgJpZWWFzMxMoefZy5cvR79+/WBtbQ1DQ0MUFxfDx8en3r4YGxvj3r17mDNnDoD/V5PLzs5usdG9HzqK94fp1KlTNSZf1tbWiImJgYeHB+Li4qCnp4fdu3dj5MiR3Fs7Pj4+ta77t7pi7erqiqKiIhgYGMDFxUXoOB4eHggICACfz8e2bdswdepU7jfYqtdB586d8c0332Dfvn3Q0dGBi4sL3NzcuDsgRHyV87eMGzcO5ubmUFdXh7Ozc7XteDweAgMD8cMPP0BbWxvLli3Dli1b0KNHD9ja2mLq1KlYuHAhDAwMkJWVJVKF0JUrVyI+Ph58Ph/z58+Hubk5cnJyhO5cNieaIruda6vV5EjzoHg3PcYYoqKioKenxz2yWrt2LXR1dWFnZ1frulmzZjWonZiYGAwdOpR7ROLv7w8AWL9+fROeDSENR3ck2qm2Xk2ONC2Kd/Ph8Xhwc3PjXut88OABfv/9d+jp6dW5rqGCg4MREhKC8vJyJCUl4cyZM9zAT0JaE92RaKdiY2OxePFizJgxAxs3bmzt7pBmRvFuXvfv34enpyeeP3+Orl27YuXKldw4l7rWNcSzZ8/g7u6OP//8E506dYK9vT3s7e2b+EwIaThKJAghhBAiNnq0QQghhBCxUSLRTA4cOABtbW2xbmFW2rJlCzZt2iS0zNbWFqNHj0bVG0n+/v4NHnAVHR0NU1PTGtedOnUK8+bNa3iHSY2a4loAKubrj46OrrZ8wIABSElJAVAxAdLq1auhq6sLLS0t2Nra4vLly41ql/zfvytAVv45ceJEa3etVmlpadDS0mrtbryXKN6ioRlpmslPP/2Ebdu2Nep9fQMDA+zatYv7OTs7GxkZGejQoQMePXqEQYMGAah4/j1z5sxG95k0j6a4FkS1du1aDB8+HOHh4ZCRkcGNGzewdu1aHDt2DIMHD2729tuDs2fP1ji7YVvVs2dP3Lt3r7W78d6ieNeP7kg0A1tbWyQlJcHFxQXBwcHIy8vDhg0bMHLkSBgZGWHnzp3cZCHz5s3j3gmvLNxSaeTIkXjx4gX3LvDNmzeho6MDAwMD3Lx5EwBQXFyMBw8ecNMd//TTTzA3N8eIESOwaNEivHjxAkDFXYb58+fDysoKxsbGKC4u5topKyuDt7c3dHR0YGZmhri4uGb/jNqLproWRPXw4UOMHz8eHTt2hKSkJExMTLB8+XLk5eU15WmRWiQnJ2PhwoXQ0tLCuHHjuMmn6oq7q6srfHx8YGtrC21tbTg6OnKlv+vbz9/fHzY2Nhg+fDhWrVqFqKgojB8/Hnw+H35+fgCAlJQUDBgwgOvj2bNnYWFhAW1tbSxcuBAZGRkt+RF9UCje/2CkWZiYmLCoqCjGGGOrVq1iS5cuZXl5eSwjI4NNnTqVBQUFMcYYmzt3Lps5cyYrLCxk+fn51Y5jY2PDrly5whhjbP369ezkyZPs/PnzbO7cuYwxxiIjI9mkSZMYY4xdu3aN6enpsbi4OFZSUsKCgoKYhYUFKykpYaGhoWzQoEEsLi6O5efns6ioKGZiYsIYY+zbb79lVlZWLDMzk6WkpDAzMzPu+KTxmupaqHqcqvr378+Sk5MZY4ytW7eOGRkZsV27drGoqChWVFTUjGfW/lT9rGtiY2PDfH19WUlJCYuNjWXDhw9nmZmZdcbdxcWFGRgYsOfPn7Pc3Fw2ZcoUtnfvXsZY3deLi4sLGz16NEtKSmJZWVlMV1eX2drasqysLPbo0SP26aefsqSkJJacnMz69+/PGGPszz//ZMOHD2e3b99m7969Y56enmzp0qXN/Km9vyjeoqE7Es2suLgYly9fhrOzMxQVFdG1a1esXr1aqJRwXdUbDQwMcPfuXTDGEBkZidGjR8PAwABxcXEoLCzE7du3uXfJz549ixkzZmDo0KGQkZHB8uXLUVhYiD/++AMAoKGhgaFDh1Zr59KlS/j888+hqqoKdXV1Gh/RTBp7LYjC19cXjo6OuH37NhYtWgQ9PT24u7ujpKSkqU6j3ausAFn1T25uLpKSkvDkyROsXbsWMjIy4PP5OHz4MOTk5OqNu7m5OT7++GMoKSnByMgISUlJIl0v5ubm0NDQgIqKCvr27YvJkydDRUUFAwYMgKqqqlA9DgC4ePEixo0bBx0dHUhJSWHNmjVYvXp1i3127yOKd/1ojEQzy8vLQ1lZGdTV1bllPXv2FAp4XdUb9fX1ERwcjIcPH0JZWRk9evQAAAwcOBCxsbHc/ABARZGYqlX9JCQk0KNHD+5WlpqaWo1tZGVloVu3bkL9I02vsddCZfXQqsrKygBU1FMAKqp8zp49G7Nnz0ZxcTGioqLg7e2NoKAgmgGxidRWAfL58+dQVlbmYgEAQ4YMwatXr+qNe9WiWVJSUmCMiXS9VC0gJikpCUVFRe5nCQkJlJeXC/UxOztb6N+6oqIiBg4cKPK5t0cU7/rRHYlmpqqqCmlpaaSmpnLLUlJSuApxQN3VG/l8PhISEnDz5k2h8tOjR49GdHQ0Hj16BF1dXQBAt27dhCrHlZeXIy0tjbtoa2tHVVVVqIxwS9axb08aey1069atWrnn1NRUdOjQAZ07d8bdu3ehr6/PVRyUlZXFmDFjMHPmTDx58qSJz4b8W7du3ZCbmytU8fHbb79FXl5evXGvSWOvl5p07doVr1694n5+/fq10IBuIjqK9/9RItHMJCQkYGlpiR07diA/P5+rDFm1KFNdZGVlMXDgQJw8eRKjR4/mlo8ePRpnz57F4MGDubn3J0+ejBMnTiA+Ph6lpaXYu3cvJCUlwefz62xj0qRJOHToEF6+fImMjAwcPnxY/BMmtWrstTB+/HgcPHgQCQkJAIBXr17B398f5ubmkJaWxpAhQ6CoqAgvLy+8fv0ajDEkJCTg/PnzMDY2bs5TI6j47XHIkCEICgrCu3fvcOfOHXzzzTdQUlISK+6NvV5qMn78eFy5cgVxcXEoKyvD/v37qfKnmCje/0ePNlrA5s2bsX37dlhYWKC8vBzW1tZYs2aNyPsbGBjgm2++wYgRI7hlw4YNQ1FRkdBc+yNHjoSTkxPWr1+PV69eYciQIQgJCRG69VaTmTNnIi0tDZMnT4acnBzMzMzw+PHjhp8oqVdjrgU7OzsUFBRg2bJleP36NeTk5DBu3DiuwqCMjAy+++47+Pv7Y/LkyXj79i26du2KWbNmcRVASeNNmjSp2m+GVlZW8PT0REBAALZs2QIDAwN06dIF/v7+UFNTEzvujf2/49/69euHbdu2wdXVFa9evcKIESOwfft2sY/XHlC860dTZBNCCCFEbPRogxBCCCFio0SCEEIIIWKjRIIQQgghYqNEghBCmtHbt2+RnZ3d6ONUfS2QtG3tLeaUSBBCiBgSEhKwePFi8Pl8aGtrY+7cuYiNjQUAWFpacn+fO3cunj592qi2Dh8+jKCgIABUzbM1UcxrRokEIYQ0kEAggIODA4yMjBAVFYWYmBhYW1tjyZIlyMzMxLlz57hZZisLMjVG1WNQNc/WQTGvHSUShBDSQLm5uUhNTYWlpSWkpaUhJSWF6dOnw87ODllZWTA1NUV0dDScnJyQlpaGJUuW4Pz583B1deV+ywSAoKAguLq6AqiYqn7VqlUYM2YMhg4dinnz5iEjIwM3btzA/v37cebMGSxdurRadcfaKv5GR0djxowZ2Lx5M7S1tWFhYYGIiIiW/aA+IBTz2lEiQQghDdSlSxfw+XzMmTMH+/fvx/379/Hu3Tu4uLgI1TLw8/NDz549cfDgwXpnKPTz84OysjLCwsIQGRkJADhy5AiMjIzg6OgIKysr7Nu3T2if69evw9/fH/7+/oiIiICWlhYcHR25aZvj4uIwcOBAREdHw9raGlu3bm3iT6L9oJjXjhIJQggRQ0hICGxtbREWFobZs2dDX18fgYGBEHeOv3Xr1sHFxQXl5eVIT0+HsrIyXr9+Xec+9VX8lZOTw9y5cyEtLQ1LS0skJSWJ1TdSgWJeM5oimxBCxNCxY0c4ODjAwcEBBQUFCA8Ph6enJ7p37y7W8dLT0+Hl5YWUlBT0798fJSUlkJeXr3Ofuir+qqqqonPnztw6SUlJsb/wSAWKec3ojgQhhDTQuXPnYGVlxf2soKAAS0tLTJgwoc5Kqzwejyv9DggPqHNycsL06dNx69YtfPfdd/jss8/q7Ud9FX9J06GY144SCUIIaSB9fX2uOmN+fj4EAgHi4+MRHh5erdKqtLQ0CgoKAAC9e/dGeHg43rx5g8TERJw7d47bLi8vDx07dgQA3L17F7/++ivevXsHoKIgW+UxqhK34i9pOIp57SiRIISQBlJRUcGRI0fw8OFDmJmZgc/nY+PGjVi9ejXGjBkjtK21tTXWrVuHEydOYNasWejRowdMTU3h7OyMadOmcdt5eHggICAAfD4f27Ztw9SpU/Hs2TMAgLGxMe7du1etimvVir96enqIjo4WqeIvaTiKee2o+ichhBBCxEZ3JAghhBAiNkokCCGEECI2SiQIIYQQIjZKJAghhBAiNkokCCGEECI2SiQIIYQQIjZKJAghhBAiNkokCCGEECI2SiQIIYQQIrb/ATmEiQIxxD4NAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,4))\n",
    "\n",
    "plt.title('Mental Models of Infectious Disease Spread\\nand Economic Worries',fontsize=16,fontweight='bold')\n",
    "\n",
    "plt.bar(indexer, outcome,yerr=se, color='brown', label='test',tick_label=['Beliefs:\\nSeverity\\nfor World', 'Beliefs:\\nSeverity\\nfor US','Worry:\\nAggregate\\nEconomic\\nSituation','Worry:\\nPersonal\\nEconomic\\nSituation'])\n",
    "plt.ylabel('Difference between Individuals with\\nNon-linear and Linear Mental Model',fontsize=14)\n",
    "plt.text(-1.3, 0.387, \"C\", fontsize=16, fontweight='bold')\n",
    "\n",
    "\n",
    "plt.savefig(\"output/figures/fig_a8c.png\",dpi=400,bbox_inches='tight')\n",
    "\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
